Question

The Jackson High School gymnastics team sells calendars for their annual fundraiser.

The function rule below describes the amount of money the team can raise, where y is
the total amount in dollars, and x is the number of calendars sold.

y = 3x + 28


Use the function rule to find the corresponding range values when the indicated number
of calendars is sold. Show your work for finding each range value.

a. 50 calendars
b. 75 calendars
c. 90 calendars
d. Create a table of values that includes the x- and y-values for parts a-c. Write a
sentence to explain what the range represents for this function.

Answer 1

ANSWER TO QUESTION A

The amount of money the team can raise is given by the function rule,

`y=3x+28` where
`x` is the number of calendars sold and
`y` is the total amount in dollars.

a) When
`50` calendars are sold, we substitute
`x=50` in to the function rule to obatin,

`y=3(50)+28`

`\Righarrow y=150+28`

`\Righarrow y=178`

Therefore $178 was earned when 50 calendars were sold.

ANSWER TO QUESTION B

When
`75` calendars are sold, we substitute
`x=75` in to the function rule to obatin,

`y=3(75)+28`

`\Righarrow y=225+28`

`\Righarrow y=253`

Therefore the team earned $253 when 75 calendars were sold.

ANSWER TO QUESTION C.

When
`90` calendars are sold, we substitute
`x=90` in to the function rule to obatin,

`y=3(90)+28`

`\Righarrow y=270+28`

`\Righarrow y=298`

Therefore the team earned $298 when 90 calendars were sold.

ANSWER TO QUESTION D.

The table below represents the x-values and y-values for number of calendars sold and the corresponding dollars earned.

`\left\begin{array}{cc}x&y\\50&178\\75&253\\90&298\end{array}\right`

The range refers to all the y-values in the table. The range represents the amount of money raised by team in dollars after selling the calendars.