Pregunta
Brian received a \( \$ 40.75 \) gift card for a photo center. He 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. \[ B=40.75-0.07 x \] What is the remaining balance on the card if Brian bought 20 prints? dollars
Ask by Pritchard Watkins. in the United States
Mar 17,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The remaining balance is \$39.35.
Solución
1. Substitute \( x = 20 \) into the equation:
\[
B = 40.75 - 0.07 \times 20
\]
2. Multiply:
\[
0.07 \times 20 = 1.4
\]
3. Subtract:
\[
B = 40.75 - 1.4 = 39.35
\]
Thus, the remaining balance is \(\$39.35\).
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Bonus Knowledge
To find the remaining balance on the card after Brian bought 20 prints, we can substitute \( x = 20 \) into the equation for \( B \): \[ B = 40.75 - 0.07 \times 20 \] Calculating the cost of 20 prints: \[ 0.07 \times 20 = 1.4 \] Now, substitute this back into the equation for \( B \): \[ B = 40.75 - 1.4 = 39.35 \] So, the remaining balance on the card after Brian bought 20 prints is \( \text{\$} 39.35 \).
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