Question

wills earnings
number of weeks | total money ($)
0 | 140
1 | 160
2 | 180
3 | 200
sam is earning money by mowing lawns, while his friend will is getting paid to tutor. sams money can be represented by the function m = 25w + 75, where w is the number of weeks since sam began working, and m is the total amount of money possessed in dollars. the table models wills money and earnings.
sams initial amount of money possessed before his mowing job is ______ wills initial amount before tutoring.
options: same as, less than, greater than

Explanation:

Step1: Find Sam's initial money

For Sam's function \( M = 25w + 75 \), initial money is when \( w = 0 \). Substitute \( w = 0 \): \( M = 25(0)+75 = 75 \).

Step2: Find Will's initial money

From Will's table, when \( w = 0 \) (number of weeks = 0), total money is 140.

Step3: Compare the two initial amounts

Sam's initial: 75, Will's initial: 140. So 75 is less than 140.

Answer:

Less than