Question

Which situation matches the graph shown?

A) Jimmy has a summer job, he picks blueberries. He makes $5 a day plus $2 for every pound picked.
B) Jimmy has a summer job, he picks blueberries. He makes $2 a day plus $5 for every 10 pounds picked.
C) Jimmy has a summer job, he picks blueberries. He makes $2 a day minus $5 for every 10 pounds picked.
D) Jimmy has a summer job, he picks blueberries. He makes $5 a day plus $2 for every 10 pounds picked.

Answer 1

I think it's D.

50 dollars/ 10 pounds is 5.

5*2=10

10 + 5 = 15

Hope that helps!

Answer 2

D. Jimmy has a summer job, he picks blueberries. He makes $5 a day plus $2 for every 10 pounds picked.

Explanation:

We are given that 'x-axis represents the pounds picked and y-axis represents the money earned in one day'.

Now, the graph passes through the ordered pairs (0,5) and (50,15).

Then, the slope of the line is given by

`m=(15-5)/(50-0)=(10)/(50)=(1)/(5)`

Substituting the obtained slope, 'm' and the point (0,5) in the equation of straight line
`y=mx+b`. We get,

`y=(1)/(5)x+b\\\\5=(1)/(5)* 0+b\\\\b=5`

Then, the equation of the line is
`y=(1)/(5)x+5`

Thus, Jimmy earns $5 per day and
`(x)/(5)` dollars for every 'x' pound of blueberries picked.

That is, for every 10 pounds of blueberries picked, Jimmy earns
`(10)/(5)=2` dollars.

Hence, option D is correct.