In Old Town Conyers, a two-mile taxi ride costs $5.00. A four-mile taxi ride costs $9.00. If x represents miles and y represents the cost in dollars ($), write a linear model that represents the cost of a taxi ride.

If you would like to find a linear model that represents the cost of a taxi ride, you can calculate this using the following steps:

2-mile taxi ride ... $5.00

4-mile taxi ride ... $9.00

x ... miles

y ... the cost in dollars

l ... constant

y = l * x + $1.00

$5.00 = l * 2 + $1.00

5 = l * 2 + 1

5 - 1 = l * 2

4 = l * 2

l = 4/2

l = 2

$9.00 = l * 4 + $1.00

9 = l * 4 + 1

9 - 1 = l * 4

8 = l * 4

l = 8/4

l = 2

The correct result would be y = 2 * x + $1.00.