Question

A taxi service charges $1.00 for the first 1/10 of a mile and $0.10 for each additional 1/10 of a mile after that. fill in the table.
distance traveled

(miles)
9/10
2
3 1/10
10
price
?
(dollars)
Is this a proportional relationship?

Type yes or no

Answer 1

9414 1404 393

Answer:

  $1.80, 2.90, 4.00, 10.90

  not proportional

Step-by-step explanation:

For some distance d, we have a charge f(d) that is ...

  $f(d)=\begin{cases}1.00&0\le d\le0.1\\1.00+0.10\cdot\dfrac{(d-0.1)}{0.10}&0.1$

for d > 0.1, this simplifies to d +0.9.

Then the charges are ...

  $\begin{array}{cc}\underline{\text{miles}}&\underline{\text{charge}}\\9/10&1.80\\2&2.90\\3\ 1/10&4.00\\10&10.90\end{array}$

The different relation for the first 1/10 mile indicates ...

  the relationship is not proportional.