Comparing Function Values

What is the distance between the y-intercepts of the two functions?

• 14

• 8

• 6

• 4

Tags

CCSS.HSF-IF.C.7E

Kyle sells bags of popcorn at school events. The function P = 1.25b – 18 represents Kyle’s profit, where P stands for profit and b stands for the number of bags of popcorn sold. His brother Nathan sells bottles of fruit juice and has kept track of his daily sales and profit in the table. If Nathan’s profit is modeled linearly, which statement can be predicted from the two models?

• Kyle will have a higher profit than Nathan if they each sell 50 items.

• Kyle will have a higher profit than Nathan if they each sell 40 items.

• Kyle will have a higher profit than Nathan if they each sell 30 items.

• Kyle will have a higher profit than Nathan if they each sell 20 items.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

The function C(m) = 0.55m + 3.75 models the cost to take an m mile-long taxi ride from Quick Cabs. The table shows the cost to take a cab different distances from Get You There Cabs. Which statement is true about the two cab companies?

• Quick Cabs costs less per mile but has a higher fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile but has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs less per mile and has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile and has a higher fixed fee than Get You There Cabs.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Allison compared the y-intercept of f(x)= 4 – 5x to the y-intercept of the function that fits the values in the table. Which statement is true?

• The y-intercept of g(x) is half the y-intercept of f(x).

• The y-intercept of g(x) is two times the y-intercept of f(x).

• The y-intercept of g(x) is equal to the y-intercept of f(x).

• The y-intercept of g(x) is the negative value of the y-intercept of f(x).

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which statement is true about the function f(x) = 6x + 2 and the linear function that fits the values in the table?

• f(x) has the same slope as g(x).

• f(x) has the same y-intercept as g(x).

• f(x) has the same x-intercept as g(x).

• f(x) and g(x) are the same function.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

How far is the y-intercept of the function that fits the values in the table, from the y-intercept of the function graphed?

• 1 unit

• 2 units

• 5 units

• 9 units

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Angela earns $8 for every hour she works at her job. The amount of money Kelly earns at her job is modeled by the function f(x) = 15t, where t represents hours worked. Angela and Kelly both worked 38 hours last week. Which statement accurately describes the amount of money Angela and Kelly earned last week?

• Angela made $38 more than Kelly.

• Kelly made $266 more than Angela.

• Angela made $304 more than Kelly.

• Kelly made $570 more than Angela.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Suppose a bacteria is introduced to two different solutions in separate petri dishes. The bacteria in the first solution grow at a rate modeled by the function G(t) = (1.40)^t. The bacteria in the second solution grow in accordance with the data displayed in the table. Which statement best describes the growth rates exhibited within the two different solutions?

• The bacteria grow at the same rate in both solutions.

• The bacteria grow at a slower rate in the first solution.

• The bacteria grow at a faster rate in the first solution.

• The bacteria decay in the first solution and grow in the second solution.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

A scientist is observing the population of rabbits in two different areas of the state. -- The function f(x) = 9,620(0.84)^x models the population of rabbits in the western part of the state x years after the scientist began his observations. -- The table shows the population of rabbits in the eastern part of the state after different amounts of time. Which statement is true?

• Both rabbit populations are changing in size at the same rate.

• The eastern population of rabbits is changing in size at a faster rate than the western population.

• Both rabbit populations had the same initial population.

• The eastern population of rabbits had a greater initial population than the western population.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Marion compared the y-intercept of the function, f(x), shown in the table, to the y-intercept of the function, g(x), on the graph.

What is the distance between the y-intercepts of f(x) and g(x)?

• 0 units

• 4 units

• 12 units

• 20 units

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9