Question

The charge for a taxi ride in a certain city is $2$ dollars for the first one fifth of a mile and $20$ cents for each additional one fifth of a mile. Select from the following expressions, which represents the change, in cents, for a taxi ride of exactly $x$ miles, where $x$ is a positive integer.

• A. $2x+80$
• B. $3x$
• C. $100x+180$
• D. $200x+80$
• E. $300x$

Answer 1

Answer: (C)

$100x+180$

The charge for a taxi ride in a certain city is $2$ dollars for the first one fifth of a mile and $20$ cents for each additional one fifth of a mile.

Then the charges for $\frac{1}{5}$ miles are $2$ dollars $=200$ cents

When taxi rides $x$ miles, given that the charges for traditional one fifth mile is $20$ cent

So for $1$ mile $=100$ cent

Then charges $=200+$ $200+\left[(m-\frac{1}{5})100\right]$

$=200+\left(\frac{5m-1}{5}\right)100$

$=200+100x-20$

$=100x+180$