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
[tex]m=\dfrac{15-5}{50-0}=\dfrac{10}{50}=\dfrac{1}{5}[/tex]
Substituting the obtained slope, 'm' and the point (0,5) in the equation of straight line [tex]y=mx+b[/tex]. We get,
[tex]y=\dfrac{1}{5}x+b\\\\5=\dfrac{1}{5}\times 0+b\\\\b=5[/tex]
Then, the equation of the line is [tex]y=\frac{1}{5}x+5[/tex]
Thus, Jimmy earns $5 per day and [tex]\dfrac{x}{5}[/tex] dollars for every 'x' pound of blueberries picked.
That is, for every 10 pounds of blueberries picked, Jimmy earns [tex]\dfrac{10}{5}=2[/tex] dollars.
Hence, option D is correct.
