Solve the system by substitution.
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Using linear function concepts, it is found that the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta is of 399.
<h3>What is a linear function?</h3>A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For each car, Cart and Renta, the linear functions are given by:
C(k) = 90 + 0.15k
R(k) = 110 + 0.1k
Cart will cost less than Renta if:
C(k) < R(k)
Hence:
90 + 0.15k < 110 + 0.5k
0.05k < 20
k < 400
Hence, the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta is of 399.
More can be learned about linear function concepts at brainly.com/question/24808124