Question

Can anyone please help me? I'm kinda in a rush, its 8th grade math btw!

Answer 1

For point A. You know that 5 pounds cost $17.50 and 30 pounds cost $105. So you can do the following graph

Now, for point b you can use the following formula to find the equation of the line that you already graphed

`\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1_{}} \\ m=(105-17.5)/(30-5) \\ m=(87.5)/(25) \\ m=3.5 \end{gathered}`

That means that the slope of the line is 3.5, now with this data you can use the following formula

`\begin{gathered} y-y_1=m(x-_{}x_1) \\ y-17.5=3.5(x-5) \\ y-17.5=3.5x-17.5 \\ y-17.5+17.5=3.5x-17.5+17.5 \\ y=3.5x \end{gathered}`

Therefore, the equation of the line that describes what Ferroza's pet ferret spends on food is

`y=3.5x`

Now to find the value of y at the point (1, y), take x=1 into the equation of the line

`\begin{gathered} y=3.5x \\ y=3.5(1) \\ y=3.5 \\ \text{Then,} \\ (1,y)\rightarrow(1,3.5) \end{gathered}`

Finally, like the equation of the line that describes what Ferroza's pet ferret spends on food, then Ferroza wants to know what the value of y is, to know how much a pound of his pet's food is worth.