Question

Jeff bought a bottle of water for $2. He also

bought some hot dogs for $3 each. Jeff did
not spend more than $14 on the hot dogs
and the bottle of water. Write an inequality
statement that can be used to find h, the
number of hot dogs that Jeff could have
bought.​

Answer 1

The inequality to determine the number of hot dogs Jeff could have bought is 3h + 2 ≤ 14, representing the cost of hot dogs and the bottle of water not exceeding the total amount of $14.

Step-by-step explanation:

To find h, the number of hot dogs that Jeff could have bought, we can write an inequality statement based on the maximum amount Jeff can spend and the cost of the hot dogs and water. Jeff bought one bottle of water for $2 and some hot dogs for $3 each. Given that he did not spend more than $14 on everything, the inequality to represent this scenario can be written as:

Cost of water + Cost of hot dogs ≤ Total amount Jeff can spend

2 + 3h ≤ 14

This inequality suggests that when we multiply the number of hot dogs Jeff bought (h) by $3 and add the cost of the water ($2), it should not exceed $14. So the inequality demonstrating the number of hot dogs Jeff could have bought without spending more than $14, including the water, is 3h + 2 ≤ 14.

Answer 2

3h + 2 less than or equal to 14