Coordinate plane with dot plots, showing amount spent relative to discounts received. Readings show the average for discount percentage, followed by amount in dollars: 10%, $10; 20%, $13; 30%, $15; 40%, $17.5; 50%, $20; 60%, $25.
The equation of the line of best fit is y = 25x + 7.5. What does the y-intercept represent?
A.
the discount received by a customer who did not make a purchase
B.
the discount per item
C.
the amount spent by a customer who did not receive a discount
D.
the number of items purchased
1 answer
The y-intercept of the line of best fit, represented by the equation \( y = 25x + 7.5 \), occurs when \( x = 0 \). In this context, \( x \) represents the discount percentage, and \( y \) represents the amount spent.
When \( x = 0 \), the equation simplifies to:
\[ y = 25(0) + 7.5 = 7.5 \]
This means that when no discount is received (0% discount), the amount spent is $7.50.
Therefore, the y-intercept represents:
C. the amount spent by a customer who did not receive a discount.
