40 garments need to be dry cleaned for the two companies to have the same cost.
<h3>Linear equation</h3>
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)
Let g(x) represent the cost for dry cleaning at Company 2. Hence using the points:
- (5, 45.25) and (15, 105.75)
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.
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