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21 September, 04:31

A. Jenna wants to buy a new tablet computer. Top Quality, an electronics store, is selling them at a 15% discount off the list price.

Using t as the list price of the tablet, write two different expressions representing the discounted price.

B. Explain how each expression represents the discounted price.

C. While at Top Quality, Jenna sees a smartphone on sale for 14 off its list price. Her friend tells her to wait and buy it at Big Value, a discount chain, where the same phone is selling for only 75% of the list price.

Should Jenna buy the smartphone at Top Quality or Big Value? Support your answer with mathematical evidence. (Assume that getting the lowest price is Jenna's only consideration.)

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  1. 21 September, 05:55
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    Step-by-step explanation:

    Part A

    Cost = T - (15/100) * T

    Cost = (85/100) * T

    Part B

    You are asked to take 15% off the cost of something. The first equation is very clear how to do that - - just take 15% of T away from T

    The second part is not so obvious if you are not familiar with it, but the result will be the same.

    Start with the first equation

    Cost = T - (15/100) T Change 1 T to 100 / 100

    Cost = 100*T/100T - 15/100T

    Cost = 85 / 100 * T

    Part C

    Cost = Phone - 14 at Top quality. Red in Graph below

    Cost = 75/100 * Phone at Big value. Blue in Graph belos

    The graph below is a good way to answer this. I won't solve it algebraically when the graph will give you a much better idea which phone to get.

    Answer: Up to a phone cost of 55 dollars, the red phone is the better buy.

    After 55$ the blue phone is better.

    Try this with a couple of values for phone,
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