The linear equation that describes the pattern in the cost of renting a car is given by:
<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.
In this problem:
- For each day, the cost of renting a car increases by 34, hence, the slope is of 34, and the equation is:
![c(d) = 34d + b](https://tex.z-dn.net/?f=c%28d%29%20%3D%2034d%20%2B%20b)
When d = 4, c = 161, and this is used to find b.
![c(d) = 34d + b](https://tex.z-dn.net/?f=c%28d%29%20%3D%2034d%20%2B%20b)
![161 = 34(4) + b](https://tex.z-dn.net/?f=161%20%3D%2034%284%29%20%2B%20b)
![b = 25](https://tex.z-dn.net/?f=b%20%3D%2025)
Hence, the equation is c = 34d + 25, and option D is correct.
You can learn more about linear functions at brainly.com/question/25823744
Answer:
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Step-by-step explanation: