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Coordinate Geometry · Paper 2 — Free Maths AI HL Practice Questions

1MasterySAQ-SEquation of a straight line and slope-intercept form6 marksPaper 2~9 min

A company manufactures solar panels. The total cost,

C

dollars, of producing

x

panels is modelled by a linear function. When

200

panels are produced, the total cost is USD 34000. When

500

panels are produced, the total cost is USD 76000.

(a)

Calculate the slope of the linear cost function and interpret its meaning in context. [2 marks]

(b)

Determine the equation of the cost function in the form

C = mx + c

, where

m

and

c

are constants. [2 marks]

(c)

Each panel is sold for USD 180. Determine the minimum number of panels the company must sell to make a profit, and justify your answer. [2 marks]

Solutions

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