Question

However, decided to start jogging every day at track. He completes the following chart for the first month four weeks he jogged every day use the table to write in equation to resend the number of laps. Howard runs if t is the same in weeks since he began jogging.

Time (weeks) 0 1 2 3
Laps 4 6 8 10

Answer 1

To find the equation representing the number of laps Howard runs in terms of weeks, we use the provided data to calculate the slope, which is 2 laps per week. Since Howard starts with 4 laps, the y-intercept is 4, leading to the equation: L = 2t + 4.

Step-by-step explanation:

The student is looking to write an equation to represent the number of laps Howard runs in terms of the time in weeks since he began jogging. Based on the data provided, Howard runs 2 more laps each week (4 laps in week 0, 6 in week 1, 8 in week 2, and 10 in week 3). This is a linear relationship, and we can use the two points (1, 6) and (2, 8) to find the slope, which is the change in the number of laps per week.

Calculating the slope (m):

m = (8 - 6) / (2 - 1) = 2 laps per week.

Since Howard starts with 4 laps at week 0, this is the y-intercept of the equation (b).

Therefore, the equation representing the number of laps Howard runs (L) in terms of time in weeks (t) would be:
L = 2t + 4