Cônsider the following problem: Find two numbers whose sum is 15 and whose product is as large as possible. (a) Experiment with the problem by making a table like the one following, showing the product of different pairs of numbers that add up to 15. On the basis of the evidence in your table, estimate the answer to the problem. (Round your answers to one decimal place. Enter your answers as a comma-separated list.) First number x Second number y Product p 14 14 13 26 3 12 36 (b) Find a function that models the product in terms of x, the first of the two numbers. p(x) = (c) Use your model to solve the problem. Compare with your answer to part (a). (Enter your answers as a comma-separated list.) Need Help? Read It

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.1: Ratios
Problem 25WE
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Consider the following problem: Find two numbers whose sum is 15 and whose product is as large as possible.
(a) Experiment with the problem by making a table like the one following, showing the product of different pairs of numbers that add up to 15. On the basis of
the evidence in your table, estimate the answer to the problem. (Round your answers to one decimal place. Enter your answers as a comma-separated list.)
First number x
Second number y
Product p
1
14
14
2
13
26
12
36
(b) Find a function that models the product in terms of x, the first of the two numbers.
p(x) =
(c) Use your model to solve the problem. Compare with your answer to part (a). (Enter your answers as a comma-separated list.)
Need Help?
Read It
Transcribed Image Text:Consider the following problem: Find two numbers whose sum is 15 and whose product is as large as possible. (a) Experiment with the problem by making a table like the one following, showing the product of different pairs of numbers that add up to 15. On the basis of the evidence in your table, estimate the answer to the problem. (Round your answers to one decimal place. Enter your answers as a comma-separated list.) First number x Second number y Product p 1 14 14 2 13 26 12 36 (b) Find a function that models the product in terms of x, the first of the two numbers. p(x) = (c) Use your model to solve the problem. Compare with your answer to part (a). (Enter your answers as a comma-separated list.) Need Help? Read It
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