katdoringlo
2022-09-13
Answered

An member of congress’s approval rating starts at 45%. After a scandal, his approval rating decreases by 30%. Then, he passes a popular bill, and his approval rating increases by 30%. What is his final approval rating? Is he as popular as he was at the start?

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Anabelle Guzman

Answered 2022-09-14
Author has **14** answers

Given members initial rating 45 %

Just to make calculation looks simples we think out of 100 unitial rating is 45

After a scandal his rating decrease by 30% ie

$$45-30\mathrm{\%}\text{of}45\phantom{\rule{0ex}{0ex}}45-\frac{30}{100}\times 45=\frac{70}{100}\times 45=31.5$$

i.e out of 100 his final rating is 40.95 = 41%

Just to make calculation looks simples we think out of 100 unitial rating is 45

After a scandal his rating decrease by 30% ie

$$45-30\mathrm{\%}\text{of}45\phantom{\rule{0ex}{0ex}}45-\frac{30}{100}\times 45=\frac{70}{100}\times 45=31.5$$

i.e out of 100 his final rating is 40.95 = 41%

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