Question

Lisa collected data on the grams of fat and the grams of carbohydrates in 10 sandwiches at a popular restaurant. The table below represents the data she recorded.

Which linear equation best fit Lisa’s data?

A. y=0.5x + 23
B. y=23x+ 0.5
C. y=1.5x+ 27
D. y=27x + 1.5

Answer 1

• A. y=0.5x + 23

Explanation:

Take two random pairs from the table and find the formula:

• (12, 32) and (24, 36)

Find the slope:

• m = (36 - 32)/(24 - 12) = 4/12 = 1/3

Find y-intercept:

• 12*1/3 + b = 32
• b = 32 - 4 = 28
• b = 28

The line is:

• y = 1/3x + 28

The best fit is A. y = 0.5x + 23, the other options have too much of difference in the slope or y-intercept