A college uses the formula T (c) = 4000+95c to determine the quarterly tuition, T, to charge students taking c credits.

a) Find the intercept and explain what it means in words

b) Find T (18) and explain that it means in words.

a) y-intercept is 4000

b) T (18) = 5710

Step-by-step explanation:

a) This is the equation of a line with slope 95 and y-intercept 4000.

The y-intercept represents the basic amount the student has to pay even if not taking any unit: $4000

b) T (18) represents the total amount to be paid by a student who is taking 18 units: T (18) = 4000 + 95*18 = 4000 + 1710 = 5710

So a total tuition of $5710