Question

Sims spent x dollars on groceries in 2015. She spent 34% more on groceries in 2016 than in 2015, and she spent 145% more on groceries in 2017 than in 2016. Which of the following expressions represents the amount, in dollars, Sims spent on groceries in 2017? A) (2.45) (0.34x) B) (1.45)(0.34x) C) (2.45) (1.34.x) D) (1.45) (1.34x)​

Answer 1

Answer: C: (2.45)(1.34 x)

Explanation:

(x*1.34) - spent in 2016

(x*1.34) * 2.45 - spent in 2017

in 2016 spent 34% more than last year, which means she spent 100% of 2015 + 34% more of 2015 -> in total that's 134% of 2015 = 1.34 in decimal times the value of 2015.

in 2017 she spent 145% more than in 2016, which means she spent 100% of 2016 and 145% more of 2016 -> in total 245% of 2016 = 2.45 in decimal times the value of 2016.