Question

Renting skis and boots from Store A costs $9.00 a day plus a fitting fee of $4.00. Renting skis and boots from Store B costs $14.00 a day with no fitting fee. The total cost depends on how many days, d, of rental. Which inequality represents the situation when the total cost at Store A is less than the cost at Store B? Responses

Answer 1

To determine when the total cost at Store A is less than the cost at Store B, we need to compare the two situations based on the number of days of rental.

Let's break down the costs for each store:

Store A:

- Daily cost: $9.00

- Fitting fee: $4.00

Store B:

- Daily cost: $14.00

To find the total cost at each store, we multiply the daily cost by the number of days of rental.

Let's represent the number of days of rental as "d."

Total cost at Store A: $9.00 * d + $4.00

Total cost at Store B: $14.00 * d

To express the inequality where the total cost at Store A is less than the cost at Store B, we can write:

$9.00 * d + $4.00 < $14.00 * d

Simplifying the inequality:

$9.00d + $4.00 < $14.00d

Therefore, the inequality that represents the situation when the total cost at Store A is less than the cost at Store B is:

$4.00 < $5.00d

Please note that the inequality is flexible and can be further simplified or rearranged, but this format accurately represents the situation.

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Answer 2

Therefore, the inequality represents the situation when the total cost at Store A is less than that at Store B is 5d > 4.

Explanation:

To find the total cost of renting skis and boots from Store A, we need to add the daily rental fee of $9.00 to the fitting fee of $4.00. Therefore, the total cost of renting skis and boots from Store A for d days is:

[ \text{{total cost at Store A}} = 9d + 4 ]

Similarly, the total cost of renting skis and boots from Store B for d days is:

[ \text{{total cost at Store B}} = 14d ]

To find the inequality that represents the situation when the total cost at Store A is less than the cost at Store B, we need to compare the two expressions:

[ 9d + 4 < 14d ]

Simplifying the inequality:

[ 5d > 4 ]

Therefore, the inequality that represents the situation when the total cost at Store A is less than the cost at Store B is 5d > 4.