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Use the given cost table for the same product from two different companies to create a linear system.
Then solve the system to determine when the cost of the product will be the same and what the price will
be.
W
Let f(x) represent the cost for dry cleaning at Company 1 and let g(x) represent the cost of dry cleaning
at Company 2, where x is the number of garments dry cleaned.
Number of Garments
Company 1
Company 2
5
$115.25
$45.25
10
$135.50
$75.50
15
$155.75
$105.75

Use the given cost table for the same product from two different companies to create a linear system Then solve the system to determine when the cost of the pro class=

Respuesta :

raphealnwobi

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)

[tex]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[/tex]

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

  • (5, 45.25) and (15, 105.75)

[tex]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[/tex]

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: https://brainly.com/question/14323743

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