The graph below shows a line of best fit for data collected on the amount customers spent in relation to the discount they received.
The equation of the line of best fit is y = 25x + 7.5. What does the y-intercept represent?
A.
the number of items purchased
B.
the discount received by a customer who did not make a purchase
C.
the amount spent by a customer who did not receive a discount
D.
the discount per item
The correct answer is C. The y-intercept represents the amount spent by a customer who did not receive a discount. This is because the y-intercept is the value of y when x is equal to 0, meaning it represents the amount spent when the discount is 0.
C. the amount spent by a customer who did not receive a discount
To determine what the y-intercept represents, we need to analyze the equation of the line of best fit, which is y = 25x + 7.5.
In this equation, x represents the discount received, and y represents the amount customers spent. The y-intercept is the value of y when x is zero.
So, let's substitute x = 0 into the equation:
y = 25(0) + 7.5
y = 0 + 7.5
y = 7.5
Therefore, the y-intercept of the equation y = 25x + 7.5 is 7.5.
Answer C. The y-intercept represents the amount spent by a customer who did not receive a discount. When there is no discount (x = 0), the amount spent is $7.5.