Systems of equations needs to be solved in substitution form I will give five stars for the answer
1 answer:
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Constant rates are used to illustrate linear functions.
- The average rate of change is $9.0 per hour
- The function that models the table is:
- The amount earned in 7.5 hours is $67.5
<u>(a) The average rate of change</u>
This is calculated using:
So, we have:
Hence, the average rate of change is $9.0 per hour
<u>(b) A function that models the table of values</u>
Let x represent hours, and y represent the earnings.
So, we have:
Where:
m =Rate = 9.0
So, we have:
Expand
Represent as a function
Hence, the function that models the table is:
<u>(c) Amount earned for 7.5 hours</u>
This means that x = 7.5
So, we have:
Hence, the amount earned in 7.5 hours is $67.5
Read more about constant rates at:
Answer:
w = -4
Step-by-step explanation:
-11w + 7 + 10w = 19 + 2w
-1w + 7 = 19 + 2w
-1w + 1w + 7 = 19 + 2w + 1w
7 = 19 + 3w
7 - 19 = 19 - 19 + 3w
-12 = 3w
-4 = w