Explanation:
The complete question is in a comment above. The statements says that:
- Sean wrote the equation [tex]9.25=5m[/tex]
- [tex]m[/tex] is the cost per pound.
- The equation show the relationships between the total cost, $9.25, and the number of pounds of pears.
So we are asked to write an write an equation to show the cost y of x pounds of pears. In other words, we need to write an equation such that y is given in terms of x, where x is the pounds of pears. So:
[tex]y=f(x)[/tex]
From the equation we can determine [tex]m[/tex] as:
[tex]m=\frac{9.25}{5}=1.85[/tex]
So each pound costs $1.85. The equation tells us that 5 pounds of pears result costs $9.25. Then, by proportion:
[tex]\frac{y}{x}=\frac{9.25}{5} \\ \\ y=1.85x[/tex]
So choosing the number of pounds as 0, 1, 2, 3, 4, 5, the table would be:
[tex]\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}[/tex]
From the table we can know that the graph is a line. that passes through all these points. Since this line passes through the origin, then y varies directly as x (Direct Proportion).
