MATH SOLVE

4 months ago

Q:
# Braden bought 18 pencils for $4.50.Let x represent the number of pencils purchased, and let y represent the total cost.Graph the line that represents the proportional relationship.

Accepted Solution

A:

AnswerTo graph the line of the proportional relationship you should plot the points (0, 0) and (18, 4.5), and then join the points with a line. ExplanationNotice that is pretty obvious that 0 pencils cost 0 dollars, so our fist point will be (0, 0). Since x represent the number of pencils purchased and y the total cost, our second point will be (18, 4.5)Now we can find the slope of our line using the point slope formula:slope formula:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

where Β [tex]m[/tex] is the slope of the line

[tex](x_{1},y_{1})[/tex] are the coordinates of the first point on the line

[tex](x_{2},y_{2})[/tex] are the coordinates of the second point Since we already have our two points, we can replace the values in our formula:[tex]m=\frac{4.5-0}{18-0}[/tex]

[tex]m=\frac{4.5}{18}[/tex]

[tex]m=\frac{4.5-0}{18-0}[/tex]

[tex]m=0.25[/tex]Now that we have our slope, we can use the point slope formula to complete the equation of our line: [tex]y-y_{1}=m(x-x_{1})[/tex][tex]y=0.25x[/tex]Now, to graph the line that represents the proportional relationship, we will join the points (0, 0) and (18, 4.5) using our line.

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

where Β [tex]m[/tex] is the slope of the line

[tex](x_{1},y_{1})[/tex] are the coordinates of the first point on the line

[tex](x_{2},y_{2})[/tex] are the coordinates of the second point Since we already have our two points, we can replace the values in our formula:[tex]m=\frac{4.5-0}{18-0}[/tex]

[tex]m=\frac{4.5}{18}[/tex]

[tex]m=\frac{4.5-0}{18-0}[/tex]

[tex]m=0.25[/tex]Now that we have our slope, we can use the point slope formula to complete the equation of our line: [tex]y-y_{1}=m(x-x_{1})[/tex][tex]y=0.25x[/tex]Now, to graph the line that represents the proportional relationship, we will join the points (0, 0) and (18, 4.5) using our line.