A 2-mile cab ride costs 4.25 7-mile 8.50 Which equation models the cost y of a thar is x miles?

To find the equation that models the cost y of a cab ride that is x miles, let's first find the rate at which the cost increases per mile. We can do this by dividing the difference in cost by the difference in distance for the two given data points:

(8.50 - 4.25) / (7 - 2) = 0.875

This means that the cost increases by $0.875 for each additional mile. Therefore, the equation that models the cost y of a cab ride that is x miles is:

y = 0.875x + base fare

To find the base fare, we can use either of the given data points and substitute the values for x and y into the equation:

For the first data point: 4.25 = 0.875 * 2 + base fare

For the second data point: 8.50 = 0.875 * 7 + base fare

Solving either of these equations, we find that the base fare is $1.75. Therefore, the final equation that models the cost y of a cab ride that is x miles is:

y = 0.875x + 1.75