Janet is training for a marathon. she decides to track her time per mile, in minutes, for 8 weeks. which equation best fits the data?

a graph is labeled as marathon training. the horizontal axis is labeled as weeks and the vertical axis is labeled as time per mile left parenthesis minutes right parenthesis. the values on the horizontal axis range from 0 to 10 in increments of 2 and the values on the vertical axis range from 0 to 10 in increments of 2. nine points are marked on the graph with their coordinates approximately equal to (0, 10), (1, 9 decimal point 9), (2, 9 decimal point 6), (3, 9 decimal point 5), (4, 9 decimal point 4), (5, 9 decimal point 2), (6, 9), (7, 8 decimal point 7), and (8, 8 decimal point 6).
a. y=0.18x + 10.06
b. y=−0.18x + 10.06
c. y = 2x + 8.6
d. y = −2x + 8.6

Option B.

Step-by-step explanation:

Given: The nine coordinates can be written as

The equation that best fits the data can be found using the formula where a and b can be found using the formula

and

Here,

The values of a and b can be found using the values found from the table which is attached below. The values from the table are given by

,

,

,

, and

Now, we can find the values of a and b, by substituting these values in the formulas of a and b.

and

Thus, the values of a and b are found. Now, substituting the two values in the equation , we get,

The correct option is

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.