Question

Your new car travels 23 miles for each gallon of gas. You are planning to visit a friend 300 miles away, and already have 4 gallons of gas in the car. Write and solve an inequality used to determine how many gallons of gas (g) you need to buy to get to your friends house. Inequality (remember your variable is "g" AND NO SPACES)":

How many gallons of gas you need to buy to get to your friends house? ​

Answer 1

Answer:

• 23(g +4) > 300
• g > 9.0435 . . . . that's 9 1/23 gallons

Step-by-step explanation:

You want the number of gallons of gas that must be purchased to ensure that you have enough gas, with the 4 gallons you already have, for at trip of 300 miles in a car that gets 23 miles per gallon.

Inequality

The number of miles you can travel is 23 times the number of gallons you have. You want that to be more than 300 miles.

  23(g +4) > 300 . . . . . the inequality for g

Solution

Dividing by 23 gives you ...

  g +4 > 300/23 = 13 1/23

  g > 9 1/23 . . . . . . . . subtract 4

You need to buy at least 9 1/23 gallons of gas to get to your friend's house.

__

Additional comment

We hope the 300 mile distance includes the distance from your friend's house to the nearest gas station. You don't want to run out of gas when you pull into your friend's driveway.

<95141404393>