Which is a correct first step for solving this equation? -3.0 +2 - 53 - 7 = 4x + 2

Collins

Part A: The missing numbers in the table are $48 and 11 hours.

Part B: Collins' Earnings from Part-time Yard Work

Number of          Money Earned

Hours Worked       (dollars)

  5                             35

  6                             42

  8                              56

Part C:  Collins earns $5 ($35 - $30) more from doing yard work for 5 hours than he earns working as a dog walker for 5 hours.

Step-by-step explanation:

a) Data and Calculations:

Collins' Earnings from Dog Walking

Number of          Money Earned

Hours Worked       (dollars)

  5                             30

  6                             36

  8

                                 66

If Collins earns $30 for working 5 hours, it means that he earns $6 per hour.  We can cross-check with 6 hours of work, which gives a total earning of $36 (6 * $6)

Therefore, in 8 hours of work, Collins will earn $48 (8 * $6).

If he earns $66, it implies that he has worked 11 hours ($66/6).

Part B:

Ratio of the number of hours Collins works to the money he earns in dollars is 1:7

This implies that for every hour he does part-time yard work, he earns $7.

Therefore, Collins' Earnings from Part-time Yard Work

Number of          Money Earned

Hours Worked       (dollars)

  5                             35 (5 * $7)

  6                             42 (6 * $7)

  8                              56 (8 * $7)

Part C:

More earnings from yard work than dog walking =  5 hours of work multiplied by (earnings from yard per hour minus earnings from dog walking per hour)

= 5 * ($7 - $6)

= $5