Question

The taxi fare in Gotham City is $2.40 for the first 1/2 mile and additional mileage charged at the rate $0.20 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $10? What are two different ways you can solve this problem?

a) You can ride 5 miles for $10. Two ways to solve: 1) Use the given rates and tip, or 2) Create an equation based on the cost and distance.
b) You can ride 3 miles for $10. Two ways to solve: 1) Use the given rates and tip, or 2) Create an equation based on the cost and distance.
c) You can ride 7 miles for $10. Two ways to solve: 1) Use the given rates and tip, or 2) Create an equation based on the cost and distance.
d) You can ride 2 miles for $10. Two ways to solve: 1) Use the given rates and tip, or 2) Create an equation based on the cost and distance.

Answer 1

To determine how many miles you can ride for $10, you need to consider the initial cost, additional mileage charge, and tip. Using the given rates and tip, you can ride 4.3 miles. Two ways to solve the problem are to use the given rates and tip or create an equation based on the cost and distance.

Step-by-step explanation:

To determine how many miles you can ride for $10, we need to consider the initial cost, the additional mileage charge, and the tip. Let's calculate using the given rates and tip:

For the first 1/2 mile, the cost is $2.40. So for $10, you can ride

$10 - $2.40 = $7.60

The additional mileage charge is $0.20 for each 0.1 mile. Let's calculate how many 0.1 miles you can ride with the remaining $7.60:

$7.60 / $0.20 = 38

This means you can ride 38 x 0.1 = 3.8 miles with the remaining amount. Adding the initial 1/2 mile, the total distance you can ride for $10 is 1/2 + 3.8 = 4.3 miles.

Another way to solve this problem is by creating an equation based on the cost and distance:

Cost = Initial cost + Additional mileage charge + Tip

Let's substitute the values:

$10 = $2.40 + ($0.20 x 0.1 x d) + $2

Simplifying the equation, you get:

d = ($10 - $2.40 - $2) / ($0.20 x 0.1) = 43

Therefore, you can ride 43 x 0.1 = 4.3 miles for $10.