Concept explainers
To find: The equation that represents the given situation and also to graph it. Also to find three combinations of T-shirts and sweatshirts, someone can buy for $120.
Answer to Problem 38PPE
Linear equation representing the given situation is
Three combination of T shirts and sweatshirts are,
(iii) 10 T-shirts only (ii) 8 sweatshirts only (iii) T-shirts and 4 sweatshirts
Explanation of Solution
Given information: M has to spend $120 on T-shirts and Sweatshirts. The price of one T-shirt is $12 and of one sweatshirt is $15.
Concept/Formula used: Set the equation using following statement of equality.
Calculation: Let M buys x T shirts and y sweatshirts. So, required equation representing the situation is set using above formula as;
Three points in ordered pair form
x | ||
5 | ||
0 | ||
10 |
Plot these points in XY coordinate plane to get related graph as:
Conclusion: By above table, three combination of purchasing are,
(i) 10 T-shirts only (ii) 8 sweatshirts only (iii) T-shirts and 4 sweatshirts
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High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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