Answer:
see the explanation
Step-by-step explanation:
<u><em>The correct question is</em></u>
Sean wrote the equation 9.25=5m, where m is the cost per pound, to show the relationships between the total cost, $9.25, and the number of pounds of pears, write an equation to show the cost y of x pounds of pears, and use the equation to complete the table. then use the information in your table to make a graph
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
y ----> the total cost
x ---> the number of pounds of pears
In this problem we have a proportional relationship between the variables x and y
we have
![9.25=5m](https://tex.z-dn.net/?f=9.25%3D5m)
where
m is the cost per pound of pears
That means
The value of m and the value of the constant k of proportionality is the same
Find the value of m
![9.25=5m\\m=\$1.85\ per\ pound](https://tex.z-dn.net/?f=9.25%3D5m%5C%5Cm%3D%5C%241.85%5C%20per%5C%20pound)
The linear equation is equal to
![y=1.85x](https://tex.z-dn.net/?f=y%3D1.85x)
Construct the table
assume different values of x and determine the value of y
![For\ x=0 ----> y=1.85(0)=0](https://tex.z-dn.net/?f=For%5C%20x%3D0%20----%3E%20y%3D1.85%280%29%3D0)
![For\ x=1 ----> y=1.85(1)=1.85](https://tex.z-dn.net/?f=For%5C%20x%3D1%20----%3E%20y%3D1.85%281%29%3D1.85)
![For\ x=2 ----> y=1.85(2)=3.70](https://tex.z-dn.net/?f=For%5C%20x%3D2%20----%3E%20y%3D1.85%282%29%3D3.70)
![For\ x=3 ----> y=1.85(3)=5.55](https://tex.z-dn.net/?f=For%5C%20x%3D3%20----%3E%20y%3D1.85%283%29%3D5.55)
![For\ x=4 ----> y=1.85(4)=7.4](https://tex.z-dn.net/?f=For%5C%20x%3D4%20----%3E%20y%3D1.85%284%29%3D7.4)
![For\ x=5 ----> y=1.85(5)=9.25](https://tex.z-dn.net/?f=For%5C%20x%3D5%20----%3E%20y%3D1.85%285%29%3D9.25)
therefore
![\begin{array}{cc}x(\text{Number of pounds}) & y(\text{Cost in dollars})\\0 & 0\\1 & 1.85\\2 & 3.7\\3 & 5.55\\4 & 7.4\\5 & 9.25\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7Dx%28%5Ctext%7BNumber%20of%20pounds%7D%29%20%26%20y%28%5Ctext%7BCost%20in%20dollars%7D%29%5C%5C0%20%26%200%5C%5C1%20%26%201.85%5C%5C2%20%26%203.7%5C%5C3%20%26%205.55%5C%5C4%20%26%207.4%5C%5C5%20%26%209.25%5Cend%7Barray%7D)
using a graphing tool
The grahp in the attached figure