Question

Speedy cab has an intial charge of $2.50 plus $3.50 for any additional miles, friendly cab has an intial charge of $5.50 an a additional charge of $2.00 per mile write and slove a equation to determine how many miles you would have to go fro the pric to be the same

Answer 1

To determine the distance at which both Speedy Cab and Friendly Cab would charge the same amount, we solve the equations C = 2.50 + 3.50d and C = 5.50 + 2.00d to find that the cost is the same at 6 miles.

Step-by-step explanation:

The question is asking to find at what distance the cost of two different cab companies would be the same. To solve this, we will set up two equations that represent the total cost for each cab company and then solve for the distance at which both costs are equal.

For Speedy cab, the equation for the total cost (C) as a function of distance (d) is:

C = 2.50 + 3.50d

For Friendly cab, the equation for the total cost (C) as a function of the distance (d) is:

C = 5.50 + 2.00d

To find when the cost is the same, we can set the two equations equal to each other and solve for d:

2.50 + 3.50d = 5.50 + 2.00d

Now we subtract 2.00d from both sides of the equation:

0.50d = 3.00

Finally, divide both sides by 0.50 to find the distance:

d = 6 miles

Therefore, after 6 miles, both cab companies would charge the same amount.