Question

Calculate the rate of change (slope) for the following problem:

James had some wreaths already created. He worked on some more for 3 hours and had 10 wreaths. After 5 hours, he had created 18 wreaths.
A) 2 wreaths per hour
B) 6 wreaths per hour
C) 4 wreaths per hour
D) 8 wreaths per hour

Answer 1

James creates wreaths at a rate of 4 wreaths per hour, calculated by dividing the difference in the number of wreaths by the difference in time.

Step-by-step explanation:

To calculate the rate of change (slope) for the problem concerning the number of wreaths James creates, we need to use the information given:

• After 3 hours: 10 wreaths
• After 5 hours: 18 wreaths

Now, we subtract the number of wreaths and the time to find the difference:

• Wreaths: 18 - 10 = 8 wreaths
• Time: 5 hours - 3 hours = 2 hours

We then divide the difference in wreaths by the difference in time to find the slope:

Slope (rate of change) = 8 wreaths / 2 hours = 4 wreaths per hour

Therefore, the answer is C) 4 wreaths per hour.