# Chapter 1 - Problem Solving and Critical Thinking - 1.2 Estimation, Graphs, and Mathematical Models - Exercise Set 1.2: 37

The best estimate is b. \$$310. #### Work Step by Step We know that the most expensive calculator is approximately \$$40$, and the least expensive one is approximately \$$20, and half (5) calculators cost approximately \$$30$. The total cost of those calculators is: $20+5*30+40=210$ The average cost of those $7$ calculators is $270\div7=30$ If that was also the average cost of the $10$ calculators, then the total price would be: $10*30=300$ In the cheapest possible case, the remaining 3 calculators would all cost \$$20, which would make the total price: 210+3*20=270 In the most expensive case, the remaining calculators would all cost \$$40$, which would make the total price:$210+3*40=330$The four possible answers for the best estimate of the price are: a. \$$240 b. \$$310$ c. \$$345 d. \$$355$Out of these four, looking at all the possible sums, the best estimate is b. \$$310$.

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