Sara needs to take a taxi to get to the movies. The taxi charges $4.75 for the first mile, and then $2.25 for each mile after that. If the total charge is $18.25, then how far was Sara's taxi ride to the movie?

6 miles

Step-by-step explanation:

From the question, we are informed that the taxi charges $4.75 for the first mile, and then $2.25 for each mile after that and that the total charge is $18.25.

The distance of Sara's taxi ride to the movie would be:

4.75 + 2.25m = 18.25

where,

m = number of miles

4.75 + 2.25m = 18.25

2.25m = 18.25 - 4.75

2.25m = 13.5

m = 13.5 / 2.25

m = 6 miles

The answer is 6 miles.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)