SOLVING RATIONAL EQUATIONS

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Presentation transcript:

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%?

Taylor has made 130 free throws in her college career 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+𝑥 145+𝑥 =.9

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

1300+10𝑥 145+𝑥 =9 Multiply (145+x)on both sides 145+𝑥 1 ∙ 1300+10𝑥 145+𝑥 =9∙ 145+𝑥 1 145+𝑥 1 ∙ 1300+10𝑥 145+𝑥 =9∙ 145+𝑥 1 1

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

WRITE AN EQUATION FOR THIS STORY. 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.