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SVEN [57.7K]
3 years ago
14

The daily demand for ice cream cones at a price of $1.20 per cone is 50 cones. At a price of $2.20 per cone, the demand is 30 co

nes. Use linear interpolation to estimate the demand at a price of $1.50 per cone.
Mathematics
1 answer:
Lapatulllka [165]3 years ago
4 0

Answer:

<h2>The demand at a price of $1.50 per cone is 44 cones</h2>

Step-by-step explanation:

 let us apply the interpolation formula to solve this problem

we have

\frac{y-y1}{x-x1} =\frac{y2-y1}{x2-x1}

Now let us set the values to the notation above

x= $1.20

x1= $2.20

x2= $1.50

y = 50 cones

y1= 30 cones

y2= ?

y2= \frac{(y-y1)}{(x-x1)} (x2-x1)+y1

Substituting our given data we have

y2= \frac{(50-30)}{(1.2-2.2)} (1.5-2.2)+30\\\\y2=  \frac{20}{-1} (-0.7)+30\\\\y2=   (20*0.7)+30\\y2= 14+30\\y2= 44

the demand at a price of $1.50 per cone is 44 cones

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