Question

On Monday, Richard worked for 4 hours and earned $36. On Tuesday, Richard worked for 6 hours and earned $54. On Wednesday, Richard worked for 5 hours and earned $45. what is the rate of his earnings? Represent his earnings in a y=mx function, where hours are represented by y, and m represents the rate of change. If richard worked for 7 hours, how much money would he earn? How many hours did richard work on friday, when he earned $81

Answer 1

The rate of Richard's earnings is $9 per hour. If Richard works for 7 hours, he would earn $63. If Richard earned $81, he must have worked for 9 hours.

Step-by-step explanation:

To find the rate of Richard's earnings, we can use the formula y=mx, where y represents the earnings and m represents the rate of change. First, let's find the rate of change (m) using the given information:

m = (change in y) / (change in x)

For Monday to Tuesday, the change in y is $54 - $36 = $18. The change in x (hours) is 6 - 4 = 2. So, m = 18 / 2 = 9. Therefore, the rate of Richard's earnings is $9 per hour.

Now, if Richard works for 7 hours, we can calculate his earnings (y) using the formula:

y = mx

y = $9 * 7 = $63

Finally, to determine how many hours Richard worked on Friday when he earned $81, we can rearrange the formula:

x = y / m

x = $81 / $9 = 9 hours

Answer 2

Earnings (E), Time (T) Rate (R) E = 9t

On Friday he worked 9 hours

Step-by-step explanation:

divide 36 by 4 to get 9 (Fo that for all the earnings to make sure you got the correct answer) Then just divide 81 by 9 to get 9 hours.