Maggie ran 9 miles at x minutes per mile. She also walked for 20 minutes. If she exercised for a total of 125 minutes, write an equation that can be used to determine how long it took her to run one mile

x = (total exercise time - walking time) / number of miles run

Step-by-step explanation:

Let the time it took Maggie to run a mile = x ( already given)

x = distance ran / running speed

Total time it took her to run 9 miles can be obtained by subtracting the time she spent walking from the total exercise time.

125 - 25 = 100 minutes.

Therefore, it took Maggie 100 minutes to run  9 miles

We can set up a linear relationship as shown:

9 miles took 100 minutes

1 mile will take x minutes

x = 100 / 9 minutes.

However, the question asked us to write an equation to show this process.

We simply recap the processes in a mathematical form:

x = (total exercise time - walking time) / number of miles run

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

$15.40 per mile

step-by-step explanation:

you have to round up to 4 because 6 is over 5 so you have to round the 3 up to 4