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Chris received a \$25.00 gift card for a photo center. He used it to buy prints that cost 6 cents each. The remaining balance, [tex]B[/tex] (in dollars), on the card after buying [tex]x[/tex] prints is given by the following function:
[tex]\[ B(x) = 25.00 - 0.06x \][/tex]

What is the remaining balance on the card if Chris bought 50 prints?
[tex]\[ \boxed{\phantom{00}} \text{dollars} \][/tex]



Answer :

GinnyAnswer
To determine the remaining balance on Chris's gift card after buying 50 prints, we can use the given function:
[tex]$ B(x) = 25.00 - 0.06x $[/tex]

Let's follow the steps to find the remaining balance:

1. First, identify the cost per print and the number of prints Chris bought.
- Cost per print = \(0.06\) dollars
- Number of prints bought (\(x\)) = 50

2. Substitute \(x = 50\) into the function \(B(x)\):
[tex]$ B(50) = 25.00 - 0.06 \times 50 $[/tex]

3. Calculate the product \(0.06 \times 50\):
[tex]$ 0.06 \times 50 = 3.00 $[/tex]

4. Subtract this product from the initial balance of \$25.00:
[tex]$ B(50) = 25.00 - 3.00 $[/tex]

5. Perform the subtraction to get the remaining balance:
[tex]$ B(50) = 22.00 $[/tex]

Therefore, the remaining balance on Chris's gift card after buying 50 prints is [tex]\(\$22.00\)[/tex].

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