during a bike - a - thon, a local company pledges to donate $2.25 for every $7.00 pledged by the public. if…

Explanation:

Step1: Set up proportion

Let $x$ be the amount the company donates. The ratio of company - donation to public - donation is $\frac{2.25}{7}$. We know the public donates $154$ dollars per mile. So we set up the proportion $\frac{x}{154}=\frac{2.25}{7}$.

Step2: Cross - multiply

$7x = 154\times2.25$. First, calculate $154\times2.25=154\times\frac{9}{4}=\frac{154\times9}{4}=\frac{1386}{4} = 346.5$. So, $7x=346.5$.

Step3: Solve for $x$

$x=\frac{346.5}{7}=49.5$.

Answer:

D. $49.50$