Question

I really need help with this problem!

(problems b. and c.)

Thanks

Answer 1

b.
Use rise over run to find the slope. Rise over run uses the following formula:


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

We have two known points in the graph: (0,0) and (10, -35). Plug the values into the equation:


`y_(1) = 0, y_(2) = 35, x_(1) = 0, x_(2) = 10`


`(-35 - 0)/(10 - 0) = (-35)/(10) = -3.5`

The slope of the graph is -3.5. Including units, this would be -3.5 degrees per thousand feet.

c.
The question includes a starting point for the temperature and the change in thousands of feet. Since the change is 5500, we'll divide this by 1000 to get the x-value:


`5500 / 1000 = 5.5`


`x = 5.5`

The starting temperature will be our y-int for our slope intercept equation:


`b = 74`

`y = -3.5x + 74`

Plug in your x value:


`-3.5(5.5) + 74 = -19.25 + 74 = 55.75`

The temperature at the top of the mountain is 55.75 degrees.