Question

$1$. “Cab Go” charges a fixed rate of $\$6$ and additional $\$2$ for each mile it covers.
$2$. “Go For” charges a fixed rate of $\$4$ and an additional $\$2.25$ for each mile it covers.
Which cab company will charge more to cover a distance of $20$ miles?

• A. Cab Go
• B. Go For
• C. Data inadequate to find
• D. Both the companies will charge the same for $20$ miles

Answer 1

The correct option is B Go For

Let’s figure out the function rule followed by both the cab rental companies.

Cab Go: It charges a fixed rate of $\$6$ and additional $\$2$ for each mile it covers.
The fixed rate is always considered as the $y$-intercept,

and the variable rate is considered as the rate of change or slope.
So, here, $m=2$ and $b=6$.
So, the function rule followed by “Cab Go” will be $y=2x+6$.
Here, $x=$ Number of miles covered
$y=$ Total rent pay
If $20$ miles are covered by a cab from “Cab Go”, then the total amount to be paid as rent $=y=2\times 20+6=40+6=\$46$
It will charge $\$46$ to cover a distance of $20$ miles.

Go For: It charges a fixed rate of $\$4$ and an additional $\$2.25$ for each mile it covers.
The fixed rate is always considered as the $y$-intercept,
and the variable rate is considered as the rate of change or slope.
So, here, $m=2.25$ and $b=4$.
So, the function rule followed by “Go For” will be $y=2.25x+4$.
Here, $x=$ Number of miles covered
$y=$ Total rent pay
If $20$ miles will be covered by a cab from “Go For”, then the total amount to be paid as rent $=y=2.25\times 20+4=45+4=\$49$
It will charge $\$49$ to cover a distance of $20$ miles.

It can be concluded that “Go For” will charge more to cover a distance of $20$ miles.

So, option B is the correct answer.