Question

There's a linear relationship between the number of credits a community college student is enrolled for and the total registration cost. A student taking 9 credits pays $ 983 to register. A student taking 13 credits pays $ 1411 to register. Let x represent the number of credits a student enrolls for and let y represent the total cost, in dollars. Write an equation, in slope-intercept form, that correctly models this situation.

Answer 1

Answer:

y = 107x + 20

Step-by-step explanation:

The points that represent the number of credits and the cost of those credits in coordinate form are (9, 983) and (13, 1411).

We can use the slope formula to first find the slope of the line containing those 2 points:

$m=\frac{1411-983}{13-9}=\frac{428}{4}=107$

The slope is 107.  Now we can pick one of the 2 points and use it in the point-slope form of a line to get the equation we are looking for:

$y-983=107(x-9)$ simplifies to

$y-983=107x-963$ so in slope-intercept form:

y = 107x + 20