Question

An Uber fare in Columbus is $3.50 for the first ½ mile and additional mileage charged at a rate of $0.30 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $15? Please show or explain your calculations.please i need help on this.

Answer 1

Let's assume, total number of miles traveled after the first 0.5 mile  are x.

For 0.1 mile, the cost is $0.30

$0.1\times 10 = 1 mile$

Hence, for 10 miles, cost is

$0.30\times 10 = 3$ dollars

Total amount incurred = $ 3.50 (fixed cost) + 3x (cost per mile) + 2( tip)

He gave a total of $ 15, hence

$15=3.50+3x+2$

$9.5=3x$

$x=\frac{95}{30} =\frac{19}{6}$ miles

Total miles traveled = $\frac{19}{6} +\frac{1}{2}$ =$\frac{11}{3}$ miles

Answer 2

Answer:

$\frac{11}{3}$ miles

Step-by-step explanation:

Let the total miles traveled be x.

Now, for the first 0.5 miles total charge is = $3.50

Then, the remaining distance to be traveled$=(x-0.5)$ miles

For each additional 0.1 mile, the additional charge is $0.30

So, for $(x-0.5)$ miles, the total additional charge will be$=\frac{0.3}{0.1}(x-0.5) =3(x-0.5)$

Then, including the $2 tip, the total fare will be$=3.50+3(x-0.5)+2$

Now, given that total fare is $15, so,

$3.50+3(x-0.5)+2=15\\3.50+3x-1.5+2=15\\3x+4=15\\3x=11\\x=\frac{11}{3}$miles