Using linear equations, we determined that:
1. Company A charges less per month
2. After <u>10 months</u> of service, the total costs are the same.
<h3>How to Write Linear Equations?</h3>
We are given that:
- Number of months is represented as x
- Total cost is represented as y
Total cost for Company B is represented as y = 45x + 50.
Company B charges $45 per month.
Write an equation in slope-intercept form, y = mx + b, to represent the total cost y (in dollars) for x months of service at Company A. From the table given, using two pairs of values, (2, 180) and (3, 220), find the slope (m).
Slope (m) = change in y/change in x = (220 - 180)/(3 - 2)
Slope (m) = 40
Company A charges $40 per month.
Plug in m = 40 and (x, y) = (2, 180) into y = mx + b, to find the y-intercept, b:
180 = 40(2) + b
180 - 80 = b
b = 100
Substitute m = 40 and b = 100 into y = mx + b:
y = 40x + 100 (equation for Company A)
Make both equations equal to find the value of x, which is the number of months of service that will make the total costs of both company the same.
45x + 50 = 40x + 100
45x - 40x = -50 + 100
5x = 50
x = 10
Therefore, number of months would be 10.
In summary, using linear equations, we determined that:
1. Company A charges less per month
2. After <u>10 months</u> of service, the total costs are the same.
Learn more about linear equation on:
brainly.com/question/2030026
#SPJ1
