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Bob rented a car for a flat fee of `$150` and an additional `$10` per day. Write a linear function that represents the total cost, $f(x)$ , after $x$ days.

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Write exponential functions: word problems

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Q. Bob rented a car for a flat fee of `$150` and an additional `$10` per day. Write a linear function that represents the total cost,

f(x)

, after

x

days.

Question Prompt: The question prompt is: ＂What is the linear function that represents the total cost, $f(x)$ , after $x$ days for a car rental with a flat fee and a daily rate?＂
Identify Flat Fee and Daily Rate: Identify the flat fee and the daily rate from the problem statement. $\newline$ Flat fee (initial cost) = $\$150$ $\newline$ Daily rate (cost per day) = $\$10$ per day
Write Linear Function: Write the linear function using the form $f(x) = mx + b$ , where $m$ is the slope (rate of change) and $b$ is the y-intercept (initial value). $\newline$ In this context, $m$ is the daily rate and $b$ is the flat fee. $\newline$ So, $m = \$10$ and $b = \$150$ .
Substitute Values: Substitute the values of $m$ and $b$ into the linear function. $\newline$ $f(x) = 10x + 150$

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