Question

The cost of a car service is partly constant and partly varies with time it takes to do the work. It costs ₦3500 for 11/2 hour service and ₦2900 for a 4hour service. Find the formula connecting cost, #c with time,T hours

Answer 1

Let the constant cost be denoted by a and the variable cost per hour be denoted by b.

Given that:
a = 3500
a + 1.5b = 3500
a + 4b = 2900

Substitute the value of a from the first equation into the second equation:
3500 + 1.5b = 3500
1.5b = 3500 - 3500
1.5b = 0
b = 0

Substitute the value of b into the second equation:
a + 4(0) = 2900
a = 2900

Therefore, the formula connecting the cost, c, with time, T, is:
c = 2900