Question

If the relationship between total cost and number of units made is linear, and if cost increases by $1.4 for each additional unit made, and if the total cost of 24 units is $55, find the equation of the relationship between total cost (y) and number of units made (x).

Answer 1

y = 1.4x + 21.4

Explanation:

Given :

Total cost and number of units made have a linear relationship

Mathematically,

Total cost, y = b * number of units made, x + c

If cost increases by $1.4 for each additional unit, the slope, b = 1.4

If total cost of 24 units = $55

Total cost = 1.4 * number of units made + c

55 = 1.4*24 + c

55 = 33.6 + c

c = 55 - 33.6

c = 21.4

c = intercept

The linear relationship between total cost and number of units made is :

y = 1.4x + 21.4