Question

renda is excited for the winter season! She purchased a season pass at Snow Day Ski Resort and plans to ski most days. However, this year she also wants to try snowboarding. Since she doesn't own a snowboard, she will need to rent the equipment. There is a linear relationship between the number of days Brenda rents snowboard equipment, and the total cost of her season. 1 2 3 4 5 6 7 8 9 10 11 12 $100 $200 $300 $400 $500 $600 $700 $800 $900 $1,000 $1,100 $1,200 x y Number of days Brenda rents equipment Total cost ($) Describe the rate of change for this relationship. The total cost increases decreases by $25.00 $40.00 $60.00 $300.00 $600.00 $900.00 per day Brenda rents equipment.

Answer 1

To describe the rate of change for the relationship between the number of days Brenda rents snowboard equipment and the total cost, we can analyze the given data.

From your mention of the linear relationship with the coordinates provided:

1. For 1 day, the cost is $100.
2. For 2 days, the cost is $200.
3. For 3 days, the cost is $300.

We can see that for each additional day of renting equipment, the cost increases by $100.

To find the rate of change, we can calculate it as follows:

• Cost increase per day = Change in total cost / Change in days = ($200 - $100) / (2 - 1) = $100 / 1 = $100

This means that for each additional day Brenda rents the snowboard equipment, the total cost increases by $100.

Therefore, the rate of change is $100.00 per day Brenda rents equipment.