Question

A tower was built in 5,500 worker-hours. The contractor believes that the learning rate per tower will be 0.80 for additional towers. How many towers will have to be built before the time per tower is reduced to 3,000 worker-hours. How much time will be required for the 16th tower

Answer 1

The answer is below

Explanation:

Let us assume the relationship between the worker hours and the towers is a linear relationship. A linear relationship is in the form of y = mx + b, where m is the rate of change and b is the value of y when x = 0.

Let y represent the number of worker hours and x represent the number of additional towers. The rate per tower is 0.8 for additional towers. The relationship can be given as:

y = 5500 - 0.8x

a) The number of hours is reduced to 3,000 worker-hours. y = 3000

3000 = 5500 - 0.8x

0.8x = 2500

x = 3125 towers

b) For an additional 16th tower:

y = 5500 - 0.8(16)

y = 5487.2 hours