Question

Alberto has been doing the same number of pushups every morning. To increase his strength,he is now adding a fixed number of pushups each day. The following table tracks his progress.Write a linear equation in slope intercept form that represents this scenario.

Answer 1

Answer:

y = 3x + 25

Explanation:

Choose two points from the table, say

x1 = 2, x2 = 6

y1 = 31, y2 = 43

The slope here is:

(y2 - y1)/(x2 - x1)

(43 - 31)/(6 - 2)

= 12/4

= 3

The equation of the line if given as:

y = mx + b

where m is the slope and b is the y-intercept.

31 = 3(2) + b

31 - 6 = b

b = 25

Therefore, the equation is:

y = 3x + 25