Question

A coach of a baseball team orders hats for the players on the team. Each hat cost 9.95. The shipping charge for the entire order is $5. There is no tax on the order.The total cost of the coaches order is less than $125 Which inequality can be used to determine the greatest number of hats each the coach orders?

A is it 5h + 9.95 > 125



B is it 5h + 9.95 < 125



C is it 9.95h + 5 > 125



D is it 9.95h + 5 < 125

Answer 1

The correct inequality to determine the greatest number of hats the coach can order without exceeding $125 is 9.95h + 5 < 125. To solve for 'h', subtract 5 from both sides and then divide by 9.95.

Step-by-step explanation:

The coach of a baseball team needs to find the largest number of hats that can be ordered without exceeding a total cost of $125. To calculate this, we use the unit price of the hats and the fixed shipping cost to set up an inequality. Each hat costs $9.95 and the shipping is a flat rate of $5. The inequality to find the maximum number of hats, represented by 'h', would include the cost of the hats multiplied by the number of hats plus the shipping cost being less than $125. This gives us the inequality 9.95h + 5 < 125.

To determine the greatest number of hats that could be ordered, we solve for 'h' in the inequality. Here is a step-by-step explanation:

1. Write down the inequality: 9.95h + 5 < 125.
2. Subtract 5 from both sides to isolate the variable term: 9.95h < 120.
3. Divide both sides by the cost per hat to solve for 'h': h < 120 / 9.95.
4. Calculate the right side to find the maximum number of hats that can be purchased.