the cost of a taxi ride in New York can be calculated with the equation c=2m+8 where m is the number of miles driven.Any given ride is at least 6 miles but no more than 12 miles.what is the range?

Answer 1

So basically, what they're saying is that m is between 6 and 12. You can also write that as 6 < m < 12.

What we need to do is solve two different equations for the cost, one with m as 6 and one with m as 12, to get the range of the cost.

When we solve C = 2(6) + 8, we get $20

When we solve C = 2(12) + 8, we get $32

So the range would be between $20 and $32, which you could also write as 20 < c < 32.

Hope that helps!

Answer 2

From the problem, the domain will be from 6 miles to 12 miles (6 and 12 are included which you can reason from the way the problem is worded). This is the m variable in the equation.

The range, or set of c values, is calculated by plugging the low value and the high value into m in the equation:

c = 2(6) + 8 = 20

c = 2(12) + 8 = 32

So the range is all values of c where 20 ≤ c ≤ 32. This can also be written as [20,32] or {c | 20 ≤ c ≤ 32} whichever your teacher/textbook wants to see.