Question

#10 please help basic algebra!

Answer 1

9 ft.

Explanation:

Your work for #8 and #9 is fantastic. What neat, clear writing!

The table in #10 shows three points on a line, (0, 3), (10, 5), and (15, 6).

Get an equation for the line using any two of the points.

Let's use (0, 3) and (10, 5).

Slope
`m=(5-3)/(10-0)=(1)/(5)`

An equation for the line is

`y-3=(1)/(5)(x-0)\\y=(1)/(5)x+3`

Remember, x represents time in minutes, and y represents depth of oil in the tank in feet.

When the time is 1/2 hour (that's 30 minutes!),

x =30 and

`y=(1)/(5)(30)+3=6+3=9 \text{ ft}`