Question

AquaWorks is training new employees to assemble hot water heaters. The

number of water heaters h that a trainee can assemble per 8-hour shift is given
by h = 2.1 0.9t + 4 where t is the number of days of training the trainee
has received. How many training days are required before a trainee can
assemble 9 heaters? Round up to the nearest day.

Answer 1

A trainee requires 3 days of training before they can assemble 9 heaters.

Explanation:

We are given the formula for the number of water heaters h that a trainee can assemble per 8-hour shift as:

h = 2.1 0.9t + 4

where t is the number of days of training the trainee has received. We need to find out how many training days are required before a trainee can assemble 9 heaters. So we set h to 9 and solve for t:

9 = 2.1 0.9t + 4

Subtracting 4 from both sides, we get:

5 = 2.1 0.9t

Dividing both sides by 2.1 0.9, we get:

t = (5 / (2.1 0.9))

Using a calculator, we get:

t ≈ 2.49

Rounding up to the nearest day, we get:

t = 3

Therefore, a trainee requires 3 days of training before they can assemble 9 heaters.