Question

Sam drives a delivery van. The equation C=0.5m+60 models the relation between his weekly cost, C, in dollars and the number of miles, m, that he drives. Interpret the slope and C-intercept of the equation.

Answer 1

The slope is $\frac{1}{2}$ and c – intercept is 60

Solution:

Given that, Sam drives a delivery van.  

The equation C = 0.5m + 60 models the relation between his weekly cost, C, in dollars and the number of miles, m, that he drives.  

Finding the slope and c-intercept of equation:

Now if we observe the equation, it is of the form slope intercept form

y = mx + c where "m" is the slope of the equation and "c" is y – intercept

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Then, by comparison, slope = 0.5 and c –intercept = 60 for our equation.