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17. Irene's car had 6 gallons of gas in its 15-gallon tank. Irene wants to fill it at least half way. If gas costs $3.80 per gallon, which of the following statements is true? Select all that apply. Irene needs to add more than 1.5 gallons of gas to the car's gas tank. If Irene adds $3.80 worth of gas, her tank will be more than half full. If Irene adds $7.60 worth of gas, her tank will be more than half full. If Irene filled her tank, it would cost $34.20.

User Radex
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Irene's car has = 6 gallons of gas

Tank volume = 15 gallons

Gas cost = $3.80 per gallon

• Irene needs to add more than 1.5 gallons of gas to the car's gas tank.

If she wants to fill it at least halfway:

15/2 =7.5

7.5-6 = 1.5 gallons needed.

This statement applies.

• If Irene adds $3.80 worth of gas, her tank will be more than half full.

3.80 = 1 gallon

Add that gallon to the amount that the car already has:

6 +1 = 7 gallons

If the tank is half full: tank volume /2 = 15/2 =7.5 galloons

7<7.5

This statement does not apply.

• If Irene adds $7.60 worth of gas, her tank will be more than half full.

7.60/3.80 = 2 gallons

6+2 = 8 gallons

8> 7.5 (half full tank)

This statement applies.

• If Irene filled her tank, it would cost $34.20.​

total volume- car's gas = 15-6 = 9 gallons (needed to fill the tank)

multiply the number of gallons needed by the cost per gallon.

9 x 3.80 = 34.2

$34.20 = $34.20

This statement applies

User Carmi
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