Part 1 out of 2Use the graph to make a linear model of each function. Describe the meaning of the termsin the models. Then create the linear system, and state what the solution represents.1000900800200(8,690)600500Apples picked400(0,450)300(0,210)g(1)023Time (h)The y-intercept, b, of f(t) isand the slope, m, of f(t) isSo f(t) =t +The y-intercept, b, of g(t) isand the slope, m, of g (t) isSo g(t) =+

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ElishebaC26070 ElishebaC26070 · Answer 1 · 2022-10-30T22:08:48+01:00

First we need to calculate the equation of f(x)

we need to calculated the slope m, using two points

(0,450)=(x1,y1)

(8,690)=(x2,y2)

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{690-450}{8-0}=30[/tex]

m=30

the y-intercept b is where the line touches the y-axis in this case

b=450

the equation of the line is

[tex]f(t)=30t+450[/tex]

The answers to the first 2 sentences are bold

The y-intercept, b, of f(t) is 450 and the slope, m, of f(t) is 30

So f(t) = 30t + 450.

In the case of g(x)

(0,210)=(x1,y1)

(8,690)=(x2,y2)

[tex]m=\frac{690-210}{8-0}=\frac{480}{8}=60[/tex]

b=210

m=60

so the equation for g(x)=60x+210

The y-intercept, b, of g(t) is 210 and the slope, m, of g (t) is 60

So g(t) =60t+210

Part 2

The y-intercept represents the starting number of apples picked

The slope represents the number of apples picked per hour

The solution (8,690) represents a total of 690 apples each person gas after 8 hours