Question

at 70% an engine produces 1250 hp, what is the max output hp? (nearest whole number)
question 11 2 pts
a turbine engine produces 1857 hp at 109%, what is the 100% rating of this engine? (nearest whole number)

Explanation:

Step1: Set up proportion for first - question

Let the max output be $x$. We know that $70\%$ of $x$ is $1250$, so the equation is $0.7x = 1250$.

Step2: Solve for $x$ in first - question

$x=\frac{1250}{0.7}\approx1786$.

Step3: Set up proportion for second - question

Let the $100\%$ rating be $y$. We know that $109\%$ of $y$ is $1857$, so the equation is $1.09y = 1857$.

Step4: Solve for $y$ in second - question

$y=\frac{1857}{1.09}\approx1704$.

Answer:

1786
1704