In New York City, the cost to take a taxi can be represented with the equation y = .40x + 2.50, where x is the number of miles driven and y is the total cost. The cost of a taxi in San Francisco is shown in the table below.

y = 0.45x + 2.85

Step-by-step explanation:

to solve we can first subtract the initial cost by taking the price at 0 miles and subtracting it from one of the higher numbers, we will go with $5.10 at 5 miles for this example

5.10 - 2.85 = 2.25

now we have the price for just the 5 miles separated from the initial cost, but we still need to figure out what each single mile is, so now we just divide by 5, one for each mile

2.25 / 5 = 0.45

so $0.45 is the cost to ride for one mile, and the initial cost is 2.85, now all we have to do is implement those numbers into a formula, since 0.45 is for each mile, it is multiplied by the miles, or x, so that will be put together below

0.45x

then we have the value to add to that, 2.85

0.45x + 2.85

and that is = to y, the cost to ride in a San Francisco taxi

y=0.45x+2.85

Step-by-step explanation: