Question

Bruce drives his car for his job. The equation R=0.575m+42 models the relation between the amount in dollars, R, that he is reimbursed and the number of miles, m, he drives in one day. Find the amount Bruce is reimbursed on a day when he drives 220 miles.

Answer 1

Answer:

R = $168.5

Step-by-step explanation:

Since m represents the number of miles he drives in a day and we are given that Bruce drove 220 miles, then we can set the equation as R = 0.575 (220) + 42.

0.575 times 220 is equal to 126.5, so we simplify the equation to R = 126.5 + 42, which further simplifies as R = 168.5. So the answer is $168.5.

Answer 2

Bruce reimbursed $168.5 in a day when he drives 220 miles.

What is linear equation in two variable?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.

According to the given question.

We have a linear equation in two variable

$R = 0.575m + 42..(i)$

Which represents the amount earned Bruce for driving m number of miles.

Therefore, the amount reimbursed by Bruce when he drives 220 miles in a day is given by

$R = 0.575(220) + 42$                      (substituting m = 220)

$\implies R = 126.5+ 42$

$\implies R = 126.5 + 42$

$\implies R = 168.5$

Hence, Bruce reimbursed $168.5 in a day when he drives 220 miles.

Find out more information about linear equation in two variable here:

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