McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
4. Simulations
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Exercise 24 Page 914

Define a variable that represents the number of months passed.

H

Practice makes perfect
We are told that Paul has 20 comic books in his collection. Initial number of comics=20 Every month he adds 3 comic books to his collection. We are asked to find the number of months after which he will have 44 comic books. First, let's define a variable that represents the number of months passed. Number of months passed = t Now, let's find the number of comics after t months. To represent algebraically that Paul adds 3 comics to his collection every month, we need to add 3 to the number of comic in his collection for each month passed. We can do that by adding to the initial number of comics the number 3 multiplied by the number of months t. Number of comics after tmonths=20+ 3* t We want to find the number of months after which Paul will have 44 comics in his collection. Therefore, we will substitute Number of comics after t months with 44. 44=20+ 3* t We created a linear equation for t. Let's solve it!
44=20+3* t
â–Ľ
Solve for t
44-20=3* t
24=3* t
24/3=t
8=t
t=8
We found that Paul will have 44 comic books in his collection after 8 months. This result corresponds with option H.