ANSWER TO QUESTION A
The amount of money the team can raise is given by the function rule,
[tex]y=3x+28[/tex] where [tex]x[/tex] is the number of calendars sold and [tex]y[/tex] is the total amount in dollars.
a) When [tex]50[/tex] calendars are sold, we substitute [tex]x=50[/tex] in to the function rule to obatin,
[tex]y=3(50)+28[/tex]
[tex]\Righarrow y=150+28[/tex]
[tex]\Righarrow y=178[/tex]
Therefore $178 was earned when 50 calendars were sold.
ANSWER TO QUESTION B
When [tex]75[/tex] calendars are sold, we substitute [tex]x=75[/tex] in to the function rule to obatin,
[tex]y=3(75)+28[/tex]
[tex]\Righarrow y=225+28[/tex]
[tex]\Righarrow y=253[/tex]
Therefore the team earned $253 when 75 calendars were sold.
ANSWER TO QUESTION C.
When [tex]90[/tex] calendars are sold, we substitute [tex]x=90[/tex] in to the function rule to obatin,
[tex]y=3(90)+28[/tex]
[tex]\Righarrow y=270+28[/tex]
[tex]\Righarrow y=298[/tex]
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.
[tex]\left\begin{array}{cc}x&y\\50&178\\75&253\\90&298\end{array}\right[/tex]
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.
