A cab's flat rate is $6 at $0.75 per mile. How many miles could you travel if you only have $20 to spend?

To determine how many miles you can travel with a budget of $20, given a flat rate of $6 plus $0.75 per mile, you can use the following formula:

[ \text{Total Cost} = \text{Base Fare} + (\text{Cost per Mile} \times \text{Distance}) ]

Given:

• Base Fare: $6
• Cost per Mile: $0.75
• Total Budget: $20

You want to find the distance (in miles) you can travel. Let ( x ) be the number of miles.

[ 20 = 6 + 0.75x ]

Subtract 6 from both sides:

[ 20 - 6 = 0.75x ] [ 14 = 0.75x ]

Divide both sides by 0.75:

[ x = \frac{14}{0.75} ] [ x = 18.67 ]

Therefore, you can travel approximately 18.67 miles with a budget of $20.