Category 2 Review (continued)

In an equation, y varies directly as x varies. If y = 55 when x = 22, what is the value of x when y = 85?

• 17

• 28

• 34

• 42

In an equation, y varies directly as x varies. If y = -40 when x = 5, what is the value of x when y = -4?

• -(1/4)

• -2

• 2

• (1/2)

A factory ca,n produce 18,000 toy cars in an 8-hour shift. At this rate, in how many shifts could the factory produce 90,000 toy cars?

• 7

• 5

• 8

• 40

A school counselor meets individually with 18 students every week. Throughout the week, the counselor also meets with other students in groups of 5. Which equation best represents the linear relationship between x, the number of small groups the counselor meets with, and y, the total number of students the counselor meets with each week?

• x = 5y + 18

• x = 18y + 5

• y = 18x + 5

• y = 5x + 18

A delivery service charges a $10 delivery fee, plus 30¢ for every mile the delivery person travels to and from the delivery site. Which equation best represents the linear relationship between x, the number of miles the delivery person travels, and y, the total charge for a delivery?

• y = l0.3x

• y = l0 + 0.3x

• x = 0.3y + 10

• x = l0y + 0.3

Which graph best represents the linear function y = 6x + (1/2) ?

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A T-shirt shop charges a $25 set-up fee for a new T-shirt design and $6 for every shirt ordered. Which equation best represents the linear relationship between x, the number of shirts ordered, and y, the total cost of a T-shirt order?

• X= 6y + 25

• y= 6x + 25

• X= 25y + 6

• y= 25x + 6

Benjamin earns $20 each day that he works at his uncle's fruit stand, plus a $15 monthly bonus if he arrives at work on time every day. Last month, Benjamin was on time every day. Which equation best represents the linear relationship between x, the number of days Benjamin worked at the fruit stand last month, and y, the total amount of money he earned last month?

• y = 15x + 20

• x = 15y + 20

• y = 20x + 15

• x = 20y + 15

Which graph best represents the linear function y = 3x + 6?

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The table above shows Daryl's total earnings for working different numbers of hours. Which equation best represents the linear relationship between x, the number of hours Daryl works, and y, the total amount of money he earns?

• y = 36x

• xy = 36

• y = 12x

• x = 12y