Day 1 of GMAS Review

The function f(x)=-0.25x+5 models the height of a candle x seconds after it is lit. What is the meaning of the y-intercept in the function?

• the initial height of the candle

• the final height of the candle

• the rate at which the candle is burning

• the amount of time it will take the candle to burn.

The total cost, in dollars of membership in a fitness center is given by the function c(m)=20m+40, where m is the number of months a person is a member. In dollars, how much is the cost of a membership for 1 year.

• $60

• $240

• $280

• $400

Which choice could be modeled by a linear function?

• the amount of money, y, in an account after x years earning 4% interest compounded annually

• the monthly cost, y, to use a cell phone after x minutes at a rate of 4 cents per minute

• the height, y, of a ball after bouncing x times, if each bounce reaches 2/3 of the previous height.

• the amount, y, of radioactive material remaining after x years when decay occurs at a rate of 30% each year.

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

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 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

Which scatter plot BEST represents a model of linear growth?

• 
• 
• 
• 

Write the equation for the line.

• y= -1x+3
• y= 4x+3
• y=1/4x+3
• y= -4x+3