Leah is riding home from a friends house. After 5 minutes she is 4 miles from home. After 15 minutes she is 2 miles from home. Which equation models his distance, X if he is initially 5 miles from home? A) Y=5X-5 B) Y=11/7X-27/7 C) Y=0.2X+5 D) Y=-0.2X+5

Y = - 0.2X + 5

Step-by-step explanation:

Given that:

Distance between Leah's home and friend's house = 5 miles

Distance X:

After 5 minutes, she is 4 miles from home

After 15 minutes, she is 2 miles from home

Hence ;

Change in distance with time (slope) :

(2 - 4) / (15 - 5) = -2 / 10 = -0.2

Initial distance from home (intercept) = 5

Hence, using the linear equation model:

Y = mx + c

m = slope or gradient ; c = intercept

Y = - 0.2X + 5

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!