1. A cereal company finds that if it spends $40,000 on advertising, then 100,000 boxes of cereal will be sold, and of it spends $60,000, then 200,000 boxes will be sold.
(a) Write down a linear equation that relates the amount A spent on ads to the number x of boxes sold.
(b)Solve to find how much advertising is needed to sell 300,000 boxes of cereal?
(c) Identify the slope of your linear function.
Answers
Given : A cereal company finds that if it spends $40,000 on advertising, then 100,000 boxes of cereal will be sold, and of it spends $60,000, then 200,000 boxes will be sold.
To Find : (a) a linear equation that relates the amount A spent on ads to the number x of boxes sold.
(b) advertising needed to sell 300,000 boxes of cereal?
(c) slope of your linear function.
Solution:
Amount Spent = A
Boxes sold = x
x = mA + C
100000 = 40000m + C
200000= 60000m + C
=> 100000 = 20000m
=> m = 5
=> C = -1000000
a linear equation that relates the amount A spent on ads to the number x of boxes sold.
=> x = 5A - 100000
or 5A = x + 100000
300000 = 5A - 100000
=> A = 80000
$80,000 advertising is needed to sell 300,000 boxes of cereal?
Slope is 5
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