Question

In San Francisco (California), a luxury car ride around downtown. The driver charges $4forthefirst$\frac{1}{4}$mile,plus$1.50 for each additional $\frac{1}{2}$ mile. Mark the right inequality representing the number of miles, $m$, that you could ride and pay no more than $10.

• A. $3.25+1.5m\le 10$
• B. $3.25+3m\le 10$
• C. $4+1.5m\le 10$
• D. $4+3m\le 10$

Answer 1

The correct option is B $3.25+3m\le 10$

$m$ is the number of miles we have travelled.

Since the cost of the initial $\frac{1}{4}$ miles is $4,andeachadditional$\dfrac{1}{2}$milecosts$1.50, we can have the total cost written as

$4+\frac{(m-\frac{1}{4})}{\frac{1}{2}}\times 1.50$

$\therefore 4+2\times (m-\frac{1}{4})\times 1.50\le 10$

$\therefore 4+3(m-\frac{1}{4})\le 10$

$\therefore 4+3m-0.75\le 10$

$\therefore 3.25+3m\le 10$