Solving Rational Equations

In this problem-solving journey, we explore Taylor's quest for a 90% free throw percentage and a quarterback aiming for a 60% completion rate. By formulating and solving rational equations, we uncover the number of additional free throws Taylor needs to make and the passes the quarterback must complete in the next game. Join us as we delve into the world of sports statistics and mathematical equations to find the solutions.

• Rational Equations
• Free Throws
• Completion Rate
• Sports Statistics
• Problem-Solving

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Uploaded on Feb 24, 2025 | 0 Views

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Presentation Transcript

1. SOLVING RATIONAL EQUATIONS TAYLOR HAS MADE 130 FREE THROWS IN HER COLLEGE CAREER. SHE HAS SHOT 145 FREE THROWS. HOW MANY MORE FREE THROWS MUST SHE MAKE TO HAVE A FREE THROW PERCENTAGE OF 90%?

2. Taylor has made 130 free throws in her college career. She has shot 145 free throws. How many more free throws must she make to have a free throw percentage of 90%? Let x = the number of free throws Taylor must make. 130+? 145+?=.9

3. 130+? Multiply both sides by 10 to get ride of the decimal. 145+?=.9 10 130+? 145+?=.9 10 1 1300+10? 145+?=9

4. 1300+10? 145+?=9 Multiply (145+x)on both sides 145+? 1 1300+10? 145+?=9 145+? 1 1 145+? 1 1300+10? 145+?=9 145+? 1 1

5. 1300 + 10? =1305+9x 9? = 1300 + ? = 1305 1300 Subtract 9x from both sides. 9? Subtract 1300 from both sides = 1300 ? = 5 If Taylor makes her next 5 free throws then she will have a 90% free throw percentage.

6. A quarterback has completed 57 out of 103 passes. How many passes must he complete in the next game in order to have a completion rate of 60%? WRITE AN EQUATION FOR THIS STORY.