Kara and lindsey both hike in separate directions from their campsite, with kara hiking straight to the east and lindsey hiking straight north. at
2: 00 p. m., kara hiked twice as far to the east as lindsey hiked to the north. at 2: 30 p. m., kara had covered another mile, while lindsey had
covered another half of a mile. if x represents lindsey's distance, in miles, from the campsite at 2: 00p. m., what function could be used to
represent the area of the triangular region formed by the girls' locations and the campsite at 2: 30 p. m.?

A. f(x)=x^2+x+0.25

Step-by-step explanation:

If x represents Lindsey's distance at 2:00 PM, then 2x represents Kara's distance at 2:00 PM because she walked twice as far as Lindsey. Then adding on the values we got for 2:30 PM, we get that Kara walked a distance of 2x+1 and Lindsey walked a distance of x+0.5 at the time of 2:30 PM. Now, we know that they have formed a right triangle because we are given the directions they walked in; east and north. This allows us to use a formula for the area of a right triangle: 1/2(L x W). Plugging in our values, we get...

1/2(2x+1)(x+0.5)

which simplifies to...

1/2(2x^2+2x+0.5)

which further simplifies to...

x^2+x+0.25

which is our answer.

-2

7 - 9 = -2

reversed:

-2 + 9 = 7