The graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
-3x + 5y = -15
The above function shows a linear function we can write it as:
5y = 3x - 15
y = (3x - 15)/5
If x = 0, y = -3
x = 1, y = -2.4
x = 2, y = -1.8
x = -1, y = -3.6
x = -2, y = -4.2
Thus, the graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.
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For the first 6 trips she walked 3.2 kilometers and for the next 6 she made another 3.2 which would be 6.4 kilometers for 12 trips now she made 3 more trips which is half of the amount she originally did so it would be half of the distance also so 3.2 divided by 2 is 1.6 kilometers so for the last 3 trips she walked 1.6 kilometers. now add up all the distance she walked so 6.4 kilometers for the 12 trips plus the 1.6 for the other 3 trips is 8 kilometers in total. she walked 8 kilometers after 15 trips.
Answer:
The expression will be 
Step-by-step explanation:
We have given the expression 
We have to write this expression in kkxxnn form , here kk is real number and nn is integer
We know the property of exponent that when two function are multiplied thn their exponent are added
So 
Here kk = 2 and nn = 15
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:
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