A linear function models the total cost $y$, in dollars, for a printer and $x$ ink cartridges. The graph passes through $(0, 80)$ and $(1, 95)$. The slope represents which of the following?
AThe cost per ink cartridge is $15
BThe cost of the printer is $15
CThe cost per ink cartridge is $80
DThe cost of the printer is $95
Answer & Solution
Correct answer: A. The cost per ink cartridge is $15
The slope is the change in $y$ per unit increase in $x$. From $(0, 80)$ to $(1, 95)$, $y$ increases by 15 as $x$ increases by 1, so slope = 15. In context, $y$ is total cost and $x$ is number of cartridges, so the slope is the cost per cartridge, i.e., $15.
Related questions
Given 5.5r + 3b = 37 and 6.5r + 8b = 66, then b equals:If f(x) = 2x + 3, then f(5) equals:The y-intercept is the value of y when x equals:In y = mx + b, the constant m represents the:How many solutions does the system $y = 2x + 5$ and $4x - 2y = 6$ have?A school sold 50 tickets in total. Adult tickets cost ₹200, child tickets cost ₹100, and tIn the system $2x + 3y = 12$ and $4x - 3y = 6$, what is the value of $x$?A line in the xy-plane passes through $(0, 4)$ and $(3, 13)$. Which equation represents th