Modeling a Linear Function

Mev's Rental Car Lot rents each of its cars for a one-time

$22.75 insurance charge plus $32.50 per day. Write an equation that represents , the total dollar amount that you must pay to rent a car for x days.

• y = 22.75x + 32.5

• y = 22.75 + 32.5x

• 22.75x + 32.5y = 54.50

• y = 22.75 - 32.50x

Morales and the Key Club decided to have a bake sale after school to raise money for their charity organizations. The graph below shows the relationship between cookies sold and earnings (in dollars). The supplies to bake the brownies cost them $9 up front.

• -9≤y≤18, where x≥0

• -9≤y≤18, where y is all integers

• 0≤x≤9, where x≥0

• 0≤x≤9, where x is all non-negative integers

Suppose the function

h(t) gives the heart rate of a runner at various points in time during a half marathon (13.1 mile run). Select an appropriate domain for this function. Assume that the runner completed the half marathon in 124 minutes.

• The domain is all rational numbers, x, such that

  0≤x≤124

• The domain is all rational numbers, x, such that

  0≥x≥124

• The domain is all integers, x, such that

  0≤x≤124

• The domain is all integers, x, such that

  0≥x≥124

At a fair, hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation

3x+1.5y=30 describes the number of hamburgers and hot dogs a family can buy with $30.00. Using the graph below find each intercept and what each one represents.

what is the x-intercept?

• (10,0)

• (0, 10)

• (0,20)

• (20,0)

At a fair, hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation

3x+1.5y=30 describes the number of hamburgers and hot dogs a family can buy with $30.00. Using the graph below find each intercept and what each one represents.

what is the y intercept?

• (10,0)

• (0,10)

• (0,20)

• (20,0)

At a fair, hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation

3x+1.5y=30 describes the number of hamburgers and hot dogs a family can buy with $30.00. Using the graph below find each intercept and what each one represents.

what does the x-intercept mean?

• the number of hamburgers they can buy if they buy no hot dogs.

• the number of hamburgers they can buy if they buy 20 hot dogs

• the number of hot dogs they can buy if they buy no hamburgers.

• the number of hot dogs they can buy if they buy 10 hamburgers

At a fair, hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation

3x+1.5y=30 describes the number of hamburgers and hot dogs a family can buy with $30.00. Using the graph below find each intercept and what each one represents.

what does the y-intercept mean?

• the number of hamburgers they can buy if they buy no hot dogs

• the number of hamburgers they can buy if they buy 20 hot dogs

• the number of hot dogs they can buy if they buy no hamburgers

• the number of hot dogs they can buy if they buy 10 hamburgers

Mrs. Lugo and Mrs. Carroll sell balloon animals at different stands on the boardwalk. They each use a constant number of balloons per animal.

Mrs. Lugo started with a total of 300 balloons today, and she uses 5 balloons for each balloon animal she makes.

if both ladies used up all of their balloons, who made more balloon animals?

• Lugo

• Carroll

• they made the same amount

A study was conducted to monitor the temperatures of two Florida cities on a random day in September from noon until 8pm. The first city, Orlando, had a temperature (in degrees fahrenheit) as a function of the time (in hours) represented by the following function.

T(h)=105-5.5h

The second city, Jacksonville, had a temperature (in degrees fahrenheit) as a function of time (in hours) is shown as a graph below.

Which city started at a higher temperature?

• Orlando

• Jacksonville

• the cities started at the same temperature

A study was conducted to monitor the temperatures of two Florida cities on a random day in September from noon until 8pm. The first city, Orlando, had a temperature (in degrees fahrenheit) as a function of the time (in hours) represented by the following function.

T(h)=105-5.5h

The second city, Jacksonville, had a temperature (in degrees fahrenheit) as a function of time (in hours) is shown as a graph below.

Which city cooled down at a faster rate?

• Orlando

• Jacksonville

• The cities cooled down at the same rate.