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Jessica received a $\$40.50$ gift card for a photo center. She used it to buy prints that cost $7$ cents each. The remaining balance, $B$ (in dollars), on the card after buying $x$ prints is given by the following function. What is the remaining balance on the card if Jessica bought $40$ prints?

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Write linear functions: word problems

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Q. Jessica received a

\$40.50

gift card for a photo center. She used it to buy prints that cost

7

cents each. The remaining balance,

B

(in dollars), on the card after buying

x

prints is given by the following function. What is the remaining balance on the card if Jessica bought

40

prints?

Identify Cost and Amount: Identify the cost per print and the initial gift card amount. $\newline$ Jessica has a $\$40.50$ gift card, and each print costs $7$ cents, which is $\$0.07$ .
Set Up Remaining Balance Function: Set up the function for the remaining balance on the card. $\newline$ The function for the remaining balance, $B$ , after buying $x$ prints is $B = \text{Initial amount} - (\text{Cost per print} \times \text{Number of prints})$ .
Calculate Total Cost for $40$ Prints: Calculate the total cost for $40$ prints. $\newline$ Total cost for $40$ prints = $\$0.07 \times 40$ . $\newline$ Total cost for $40$ prints = $\$2.80$ .
Calculate Remaining Balance: Calculate the remaining balance on the card after buying $40$ prints. $\newline$ Remaining balance, $B = (\$40.50) - (\$2.80)$ . $\newline$ Remaining balance, $B = (\$37.70)$ .

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