Collins has a part-time job as a dog walker. The table below shows the amount of money Collins earned for different numbers of hours of work: Collins' Earnings from Dog Walking
Number of Hours Worked Money Earned (dollars)
5 30
6 36
8
66

Part A: What are the missing numbers in the table? Show your work. (4 points)

Part B: Collins also does part-time yard work. The ratio of the number of hours Collins works to the money he earns in dollars is 1:7. Create a table to show the money earned by Collins for 5, 6, and 8 hours of doing yard work. (3 points)

Part C: How many more dollars does Collins earn doing yard work for 5 hours than working as a dog walker for 5 hours? Show your work. (3 points)
Your

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

:  , | = . | = . | = $.| ' , = . , , $.

:  ' , | $ = .| $ = .| $ = .|, , , .

:  ($ - $) = , . - = ' .

! <

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

the answer is 489

step-by-step explanation: