Question

evan receives a $150 gift card to the local car wash for his birthday. the function t(w) = 150 - 7.50w represents the total value, t, in dollars on the gift card after getting w car washes. part a. how many car washes can evan get with his gift card? keypad image with numbers 1-9, 0, /, -, and a clear button

Explanation:

Step1: Set T(w) to 0

When the gift card value is $0$, we find the number of washes. So set \( T(w) = 0 \), giving \( 0 = 150 - 7.50w \).

Step2: Solve for w

Add \( 7.50w \) to both sides: \( 7.50w = 150 \). Then divide by \( 7.50 \): \( w=\frac{150}{7.50}=20 \).

Answer:

20