Question

The cost y of red grapes can be represented by the equation y=3x where x is the number of pounds of red grapes. The graph shows the cost of green grapes. Which type of grape cost more per pound?

A. Green grapes
B. Red and green grapes cost the same
C. Red grapes

Answer 1

Option C. Red grapes

Explanation:

we know that

The cost per pound is equal to the slope of the linear equation

so

For the red grapes

y=3x

the slope
`m=3(\$)/(pound)`

For the green grapes

Find the slope

Observing the graph

For x=1, y=2

Is a direct variation (the line pass through the origin)

so

m=y/x

substitute

`m=2/1=2(\$)/(pound)`

Compare

`3(\$)/(pound) > 2(\$)/(pound)`

therefore

The red grapes cost more per pound