Hello! To solve this problem, we can write and solve an equation. Set it up like this:
6 + 3m = 24
This is because 6 is the one-time fixed price and you pay $3 per mile. Subtract 6 from both sides in order to get 3m = 18. Now, divide each side by 3 to isolate the “m”. 18/3 is 6. There. m = 6. Mike traveled 6 miles by taxi.
Answer:

Step-by-step explanation:
Change the mixed number into a regular fraction.

Subtract the numerator.

As a mixed number:

The slope is given by rise over run, or difference in y over difference in x. Therefore in this problem that is (-2-4)/(-3-3) => (-6)/(-6) => 1
Final answer:
The slope is 1.
Hope I could help :)
First, let's convert the givens to decimals to make calculations easier:
2 (3/4) = 2.75
9(5/8) = 9.625
We are given that:
Josie can hike 2.75 miles in one hour.
To know the time that Josie would take to hike 9.625 miles, we will simply do cross multiplication as follows:
2.75 miles ..........> 1 hour
9.625 miles .............> ?? hours
Time = (9.625*1) / (2.75) = 3.5 hours
The answer to number 3 is (0,-2)