Using Ratios to Solve Problems - Item 30726 Question 6 of 7
Percy is plotting points on a graph.
The ratio of
y
-value to
x
-value is 2
2
to 3
3
for each point.

What will be the
x
-value of a point with a
y
-value of 18
18
?

Math item stem image

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is