Question

1. mr matthews is working at a new company where he will have to travel to meet with clients. the table below shows the relationship between the number of days mr. matthews has worked and the total number of miles he has traveled. use the table below to answer questions 15 - 18

days worked	4	6	11	17	27
miles traveled	122	183	?	518.5	823.5

how many miles will mr. matthews travel if he works 11 days?

type a response

Explanation:

Step1: Find the rate of miles per day

First, check if the relationship is proportional. For the first two data - points:
When days worked $d_1 = 4$, miles traveled $m_1=122$, the rate $r_1=\frac{m_1}{d_1}=\frac{122}{4} = 30.5$.
When days worked $d_2 = 6$, miles traveled $m_2 = 183$, the rate $r_2=\frac{m_2}{d_2}=\frac{183}{6}=30.5$.
Since the rate is constant, the relationship is proportional with a rate of 30.5 miles per day.

Step2: Calculate miles for 11 days

Let the number of days be $d = 11$ and the rate $r = 30.5$ miles per day.
The number of miles $m$ is given by the formula $m=r\times d$.
So, $m=30.5\times11$.
$m = 335.5$.

Answer:

335.5