The graph shows the total cost (y) of producing x motorbike engines.

We are given

total cost is y thousand dollars

number of engines produced is x

We can select any two points

so, we can select those two points as

(0,2) and (20,7)

Let's assume

(A)

Since, we have to find equation of line y

so, we can use slope intercept form of line

that is

where

m is slope

b is y-intercept

step-1:Finding slope (m)

we can use formula

now, we can plug these values

step-2: Finding y-intercept (b)

we know that

y-intercept is value of y when x=0

we are given (0,2)

so,

step-3: Finding equation of line

we can find equation of line

..........Answer

(B)

we are given

number of engines =50

so, we can plug x=50 and find y

so, y=14.5 thousand dollars

y=14.5*1000=$14500

The total cost of producing 50 engines is $14500..........Answer

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step-by-step explanation: