Comparing Functions and Initial Value

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

• 14

• 8

• 6

• 4

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.

Jason and Megan joined different online music clubs. Jason joined a club that charges him $1.29 per song he downloads. Megan joined a club that charges using the equation P = 0.89m + 2.37, where m is the number of songs she downloads. Which statement is true if Jason and Megan each download 15 songs?

• Megan will pay $2.37 less than Jason.

• Jason will pay $2.37 less than Megan.

• Megan will pay $3.63 more than Jason.

• Jason will pay $3.63 more than Megan.

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.

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).

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.

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

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.

Jason invested money into two different accounts. He deposited $75 into the first account which earns 6% interest annually. The value of the second account after different amounts of time is shown in the table.

Which statement is true?

• Jason started with $4 less in the second account than the first account.

• Jason started with $5 less in the second account than the first account.

• Jason started with $4 more in the second account than the first account.

• Jason started with $5 more in the second account than the first account.

What's the initial value of the equation y = 2x + 4

• 4

• -4

• 2

• 2x