Question

Which situation matches the graph shown?

Answer 1

Answer:

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

Step-by-step 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

$m=\dfrac{15-5}{50-0}=\dfrac{10}{50}=\dfrac{1}{5}$

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

$y=\dfrac{1}{5}x+b\\\\5=\dfrac{1}{5}\times 0+b\\\\b=5$

Then, the equation of the line is $y=\frac{1}{5}x+5$

Thus, Jimmy earns $5 per day and $\dfrac{x}{5}$ dollars for every 'x' pound of blueberries picked.

That is, for every 10 pounds of blueberries picked, Jimmy earns $\dfrac{10}{5}=2$ dollars.

Hence, option D is correct.

Answer 2

I think it's D.

50 dollars/ 10 pounds is 5.

5*2=10

10 + 5 = 15

Hope that helps!