determine price per 12-ounce soda if only 30 sodas are sold per day? 3. Assume t

Question

determine price per 12-ounce soda if only 30 sodas are sold per day?

3. Assume that the relationship between the number of 12-ounce sodas the PUB sells in a day and the price is linear. Suppose the PUB sells 180 sodas per day when they charge 88 cents per soda, but they only sell 120 sodas when they raise the price to $1.10. Determine an exact equation that expresses the number of sodas sold q in terms of the price p in cents, and then use your equation to determine price per 12-ounce soda if the PUIB only sells 30 sodas per day.

Explanation / Answer

We have to find a linear equation , we have two points:

(88cents , 180 sodas) and ( 110 cents , 120 sodas)

slope = ( 120 -180)/(110 -88) = - 60/22 = -30/11 sodas/cents

q = mp +c . find c using any 1 point ( 88 , 180)

180 = -30*88/11 +c -----> c = 180+30*88/11 = 4620/11 =420

So, q = (-30/11)p +420

q = 30 ; find p

30 = (-30/11)p +420 --->

p = 390*11/30 = 142 cents

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