the gas tank in bob's car holds at most 15 gallons. He has already filled the tank with 7 gallons of gas. he will continue to fill the tank with g gallons more. Write and solve an inequality that shows all the values of g that bob can add to the cars tank.
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To find the values of g that Bob can add to the car's tank, we need to set up an inequality based on the given information.
Let's break down the problem:
- The gas tank holds at most 15 gallons.
- Bob has already filled the tank with 7 gallons of gas.
- He will continue to fill the tank with g gallons more.
To represent the total number of gallons after he adds g more gallons to the tank, we need to add the current amount (7 gallons) to the extra gallons (g).
Total gallons = 7 + g
Since the tank can hold at most 15 gallons, we can set up an inequality by comparing the total gallons to the maximum capacity:
Total gallons ≤ 15
Substituting the expression for the total gallons, we have:
7 + g ≤ 15
To solve this inequality for g, let's isolate g by subtracting 7 from both sides:
g ≤ 15 - 7
Simplifying:
g ≤ 8
Therefore, the inequality that shows all the values of g that Bob can add to the car's tank is g ≤ 8.