Question

Heidi

Sal had $95 in his wallet. Then he bought a hat for $22 and a pair of jeans for $35 at the store. On his way home, Sal stops by the gas station to put gas in his tank using the money he has
left. If gas costs $3 per gallon, and x represents the number of gallons of gas Sal is able to purchase, which statements are true?
Select all that are correct.
Sal can determine the number of gallons of gas that he can purchase using the inequality 57x + 3 5 95
The number of gallons of gas that Sal can purchase can be represented by the inequality 3x S 38
Sal can purchase 13 gallons of gas or fewer.
If Sal wants to save enough money for an $8 car wash, he can also purclyse up to 10 gallons of gas.

Answer 1

In this question, we analyze the inequalities related to the number of gallons of gas Sal can purchase based on his remaining money. We find that Sal can purchase 1 gallon of gas or less and that the maximum number of gallons he can purchase is 10. Additionally, we determine that if Sal wants to save enough money for a car wash, he can purchase up to 10 gallons of gas.

Step-by-step explanation:

The first statement, 'Sal can determine the number of gallons of gas that he can purchase using the inequality 57x + 3 ≤ 95' is incorrect. The correct inequality to represent the number of gallons of gas that Sal can purchase is 57x + 3 ≤ 95. To solve this inequality, we subtract 3 from both sides to get 57x ≤ 92. Then, we divide both sides by 57 to get x ≤ 1.61. Since x represents the number of gallons of gas, Sal can purchase 1 gallon of gas or less.

The second statement, 'The number of gallons of gas that Sal can purchase can be represented by the inequality 3x ≤ 38' is correct. To solve this inequality, we divide both sides by 3 to get x ≤ 12.67. Since x represents the number of gallons of gas, Sal can purchase 12 gallons of gas or less.

The third statement, 'If Sal wants to save enough money for an $8 car wash, he can also purchase up to 10 gallons of gas' is correct. Since Sal initially had $95 and spent $22 on a hat and $35 on jeans, he has $95 - $22 - $35 = $38 left. If Sal wants to save enough money for an $8 car wash, he can spend a maximum of $38 - $8 = $30 on gas. Since gas costs $3 per gallon, Sal can purchase $30 / $3 = 10 gallons of gas or fewer.