Sami’s mom went to the mall last Monday and decided that she wants to purchase a new computer soon. She read online that the price of the computer is expected to be in alignment with the following linear model. In this model, x represents the number of weeks since last Monday, and y represents the price of the computer. Interpret the y-intercept. y=342-2.2x A. The y-intercept represents the rate of decrease in the price of the computer. B. The y-intercept represents the discounted price of the computer after one week. C. The y-intercept represents the price of the computer last Monday. D. The y-intercept represents the total amount saved on the price of the computer.
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In the given linear equation \( y = 342 - 2.2x \), the y-intercept is the value of \( y \) when \( x = 0 \). This corresponds to the price of the computer when no weeks have passed since last Monday (i.e., last Monday itself).
Thus, when \( x = 0 \): \[ y = 342 - 2.2(0) = 342 \]
This means the price of the computer last Monday was $342.
Therefore, the correct interpretation of the y-intercept is:
C. The y-intercept represents the price of the computer last Monday.
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