Consider the two functions shown here. Which function has the greater rate of change? Explain your answer.
A) Function 1, because the rate of change is 2.
B) Function 2, because the rate of change is ½.
C) Function 2, because the rate of change is 7.
D) Function 1, because the rate of change is ½ .

The pairs of numbers that multiply to give 44 are (1, 44), (2, 22), and (4, 11).

Given that we need to determine what times what equals 44,

We can look at the factors of 44 to discover two integers that multiply to equal 44.

The 44 factors are:

1, 2, 4, 11, 22, 44

As a result, the following alternative pairs of numbers can be multiplied to create 44:

1 × 44 = 44

2 × 22 = 44

4 × 11 = 44

Therefore, (1, 44), (2, 22), and (4, 11) are the pairs of numbers that multiply to generate 44.

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To write a word problem where the starting number is in the hundreds and the answer is 4 tickets left over, create a scenario where someone buys tickets for a concert and some are left over.

To write a word problem where the starting number is in the hundreds and the answer is 4 tickets left over, we can create a scenario where someone buys tickets for a concert and some are left over. For example:

Sarah bought 350 tickets for a concert. She gave 120 tickets to her friends and sold 225 tickets. How many tickets does she have left?

To solve this problem, we subtract the number of tickets Sarah gave to her friends and sold from the starting number:

Starting number - Tickets given to friends - Tickets sold = Tickets left over

350 - 120 - 225 = 5

Sarah has 5 tickets left over.

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The correct expression to determine how fast a mule deer runs in miles per hour is one-fourth mile over twenty-five seconds = 36 miles per hour.

To find the speed of the mule deer in miles per hour, we need to convert the time from seconds to hours and then use the formula for speed, which is distance divided by time.

First, let's convert 25 seconds into hours. There are 3600 seconds in an hour, so:

25 seconds * (1 hour / 3600 seconds) = 25/3600 hours

Now, we know that the mule deer runs one-fourth of a mile in 25 seconds. To find the speed in miles per hour, we divide the distance by the time in hours:

Speed (mph) = Distance (miles) / Time (hours)

Using the conversion above, we have:

Speed (mph) = (1/4 mile) / (25/3600 hours)

To simplify this, we multiply the numerator and denominator by 4 to get rid of the fraction in the numerator:

Speed (mph) = (1 mile) / (25/900 hours)

Now, we multiply the denominator by 900 to get the time in hours:

Speed (mph) = (1 mile) / (25/900 * 900 hours)

Speed (mph) = (1 mile) / (25 hours)

Next, we need to find out how many 25-hour intervals there are in one hour. To do this, we divide 1 by 25:

Speed (mph) = 1 mile * (1/25 hours)

Speed (mph) = 1/25 miles per hour

Since there are 25 intervals of 1/25 hours in one hour, the mule deer can cover 25 intervals of 1/4 mile in one hour:

Speed (mph) = 25 * (1/4 mile) per hour

Speed (mph) = 25/4 miles per hour

Speed (mph) = 6.25 miles per hour

However, this result does not match any of the options given in the question. It seems there was a mistake in the calculation. Let's correct it:

Speed (mph) = (1/4 mile) / (25/3600 hours)

Speed (mph) = (1/4) / (25/3600)

Speed (mph) = (1 * 3600) / (4 * 25)

Speed (mph) = 3600 / 100

Speed (mph) = 36 mph

This is the correct calculation. Therefore, the expression that represents the speed of the mule deer in miles per hour is one-fourth mile over twenty-five seconds equals 36 miles per hour.

Answer: 639

Step-by-step explanation:

Given: The number of people that belong to a certain social website=412

Since they are increasing at the rate of 5% every month .

The number of members of after x months is given by exponential growth function, i.e. [tex]y=A(1+r)^x[/tex], where A is the initial amount , r is the growth rate

From question, A=412

r=5%=0.05

x=9 months

Therefore, [tex]y=412(1+0.05)^9=412(1.05)^9=412\times1.551=639.1356\approx639[/tex]

hence, there will be 639 members agter 9 months.

Answer: 1 5/12

Step-by-step explanation:

2 1/3 = 7/4

3 3/4 = 15 / 4

The amount they eat = The amount they picked - The amount they remained

The amount they eat = 15 / 4 - 7/3

=45-28 / 12

=17/12

= 1 5/12

The total number of rows needed to reserve in the theater for 146 students and 5 teachers, assuming that each row has 8 seats, is 19 rows.

To determine the number of rows needed to reserve in the theater for 146 students, 5 teachers, and its chaperones, we first need to calculate the total number of individuals attending. This is done by simply adding the students and teachers:

146 students + 5 teachers = 151 people

Next, we divide the total number of people by the number of seats in each row to find the number of rows to reserve. Since each row has 8 seats:

151 people \/ 8 seats per row = 18.875 rows

Since you cannot reserve a fraction of a row, we need to round up to ensure there is a seat for everyone. Therefore, we will need to reserve 19 rows in total.

Answer:

31 and −3

Step-by-step explanation:

Since the product is negative, only one of the factors in the pair is negative.

To find the unit price, divide the cost by the number of ounces for each brand. Brand X has a unit price of $0.15 per ounce, while Brand Y has a unit price of $0.16 per ounce. Brand X is the better buy because it has a lower unit price.

To find the unit price of each brand, we need to divide the cost by the number of ounces for each brand.

Brand X: Unit Price = $2.40 / 16 ounces = $0.15 per ounce

Brand Y: Unit Price = $1.92 / 12 ounces = $0.16 per ounce

Therefore, Brand X is the better buy because it has a lower unit price.

To find out when Jordan and Jake will earn the same amount, we need to set their earnings equations equal to each other and solve for the number of hours worked. The resulting value will be the number of hours at which they both earn the same amount.

To determine the number of hours it will take for Jordan and Jake to earn the same amount of money, we need to solve an equation that sets their earnings equal to each other.

For Jordan, her earnings (EJ) are calculated as $9 per hour plus a $10 allowance. So, we write this as an equation:

EJ = 9h + 10.

Similarly, for Jake, his earnings (EJk) are calculated as $6.50 per hour plus a $15 allowance. So, his earning equation is given by:

EJk = 6.5h + 15.

To find when they earn the same, we set the two equations equal to each other:

9h + 10 = 6.5h + 15

By simplifying the equation, it results in 'h', which represents the number of hours needed for Jordan and Jake to earn the same amount of money.

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A word problem is,

"A member of the school track team ran for a total of 179.3 miles in practice over 61.5 days. About how many miles did he average per day?

Division is the process of splitting a number or an amount into equal parts.

here, we have,

a word problem that involves dividing by a decimal .include a picture of solution using a model

given by,

"A member of the school track team ran for a total of 179.3 miles in practice over 61.5 days. About how many miles did he average per day?"

(Explanation is attached)

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Two consecutive positive integers that sum to 71, a simple equation can be used leading to the solution that the integers are 35 and 36.

Tasked with finding two consecutive positive integers whose sum is 71. To solve this, let's represent the smaller integer as n, which means the next consecutive integer is n+1. According to the riddle, the sum of these two integers is 71:

n + (n + 1) = 71

Solving this equation:

2n + 1 = 71

2n = 71 - 1

2n = 70

n = 35

The smaller integer is 35, and the next consecutive integer is 36. Therefore, the two consecutive positive integers are 35 and 36.

The distance between the rooftops of two buildings, one 47 feet high and the other 31 feet high with a 12 feet gap between them, is 20 feet, as calculated using the Pythagorean theorem.

To determine the distance between the rooftops of two buildings with different heights, we should envision a right-angled triangle where the buildings form the two vertical legs, and the distance between them forms the base.

The height difference of the buildings gives us one leg of the triangle (47 feet - 31 feet = 16 feet), and the distance between them gives us the other leg (12 feet).

Using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides, we can calculate the length of the hypotenuse, which is the distance between the rooftops.

The formula is c = ( √{a² + b²} ), where a and b represent the legs of the triangle, and c represents the hypotenuse.

For our problem:

Leg a (height difference): 16 feet

Leg b (distance apart): 12 feet

Plug the values into the formula:

c = √{16² + 12²}

c = √{256 + 144}

c = √{400}

c = 20 feet

So, the distance between the rooftops of the buildings is 20 feet.