Question

The Boden family’s friends the Sterns decided to meet them at the final destination. They, too, initially drove some miles before they made a plan of driving a set number of miles each day. Days 3, 4, and 5 are displayed on the graph.

Analyze the graph to determine the number of miles the Sterns plan to drive per day.
miles per day

Answer 1

They plan to drive 211 miles per day.

Explanation:

We know by given that

Day 3 (3,785)

Day 4 (4,996)

Day 5 (5,1207)

To find the number of miles the Sterns plan to drive per day, we need to find the constant ratio of change between these three coordinates. In other words, we need to find the slope of the line that would represents this situation.

The formula is

`m=(y_(2) -y_(1) )/(x_(2) -x_(1) )`

We need to use two points, (3,785) and (4,996). Replacing them in the formula, we have

`m=(996-785)/(4-3)=(211)/(1)=211`

This means they plan to drive 211 miles per day.

Therefore, the answer is 211 miles per day.

Answer 2

211 miles

Explanation:

Each day's mileage is 211 miles more than that of the previous day:

995-785 = 1207-996 = 211 . . . . miles per day