Question

Use the given cost table for the same product from two different companies to create a linear system.

Answer 1

40 garments need to be dry cleaned for the two companies to have the same cost.

Linear equation

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let f(x) represent the cost for dry cleaning at Company 1. Hence using the points:

• (5, 115.25) and (15, 155.75)

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ \\ y-115.25=\frac{155.75-115.25}{15-5}(x-5)\\ \\ y=4.05x+95$

Let g(x) represent the cost for dry cleaning at Company 2. Hence using the points:

• (5, 45.25) and (15, 105.75)

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ \\ y-45.25=\frac{105.75-45.25}{15-5}(x-5)\\ \\ y=6.05x+15$

For the cost to be the same:

4.05x + 95= 6.05x + 15

x = 40

40 garments need to be dry cleaned for the two companies to have the same cost.

Find out more on Linear equation at: brainly.com/question/14323743