We know that,
Slope= change in y/change in x
If we represent number of calculators sold on y and decrease cost of calculators on the x axis.
So, the slope of line passing through the points (85, 9000) and ( 80, 11000)
(x1,y1) (x2,y2)
is.
Slope= change in number of calculator sold÷ decrease in the cost of calculator
Slope(m)=(y2−y1)/(x2−x1)
Slope(m)=(11,000−9,000)/(80−85)
Slope(m)=−400
Therefore
y−y1=m(x−x1)
m=−400
y1=9,000
x1=85
(y−9,000)=−400(x−85)
y−9,000=−400x+34,000
y=−400x+43,000 Hence, the linear function the perdicts the number of calculators per week is given by y=−400x+43,000
2.
The number of calculators that will be sold at a price of $65.
y=−400×65+43,000
y=−26,000+43,000
y=17,000
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