Linear Functions Eoc Review

Juan compared the slope of the function f(x)=-1/4(-8x-28) to the slope of the linear function that fits the  values in the table below. Which best describes the slopes of the two functions?

• Both functions have a positive slope

• Function f(x) has a negative slope, while function g(x) has a positive slope

• Both functions have negative slope

• Function f(x) has a positive slope, while function g(x) has a negative slope

The table below shows a car dealer’s paycheck based on the number of cars she sold. What is the meaning of the slope of the linear model?

• The dealer gets $2,500 for every car she sells.

• The dealer gets $2,500 for every 6 cars she sells.

• The dealer gets $1,500 for every car she sells.

• The dealer gets $1,500 for every 6 cars she sells.

Dayana compared the slope of the following two functions: What is the slope of the function with the larger slope ?

• 1/2

• 5/6

• 6/5

• 2

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?

• y = 425x + 600

• y = 425 + 600x

• y = 400x + 625

• y = 400 + 625x

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service.  Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper

• Nate’s service ($42 vs. $44) is cheaper

• Nate’s service ($38 vs. $40) is cheaper

• Beth's service ($42 vs. $44) is cheaper

Compare the rates of change. Which statement is true about functions A and B?

• They have the same rate of change

• A has a greater rate of change than B

• A and B both have negative rates of change

• A has a negative rate of change and B has a positive ROC

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

• y = 4x + 1.50

• y = 1.50x + 4

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute.  Find an equation in slope intercept form.  Then, use your equation to find the altitude of the plane after 5 minutes.

• 20,000 feet after 5 minutes

• 40,000 feet after 5 minutes

• 148,000 feet after 5 minutes

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

• y = 30x + 20

• y = 30 + 20x

• y = 50x

• y = 60x

How much does the package weigh?

• 0 lbs

• 1 lb

• 2 lbs

• 6 lbs