401,422 views
36 votes
36 votes
F(x)=400-4/5x find the function and intercepts

User Dragisa Dragisic
by
2.3k points

1 Answer

13 votes
13 votes

Answer:

The x-intercept is (500, 0); the y-intercept is (0, 400).

Explanation:

F(x)=400-4/5x is already a function: a function of x.

To find the y-intercept, set x = 0 and calculate F(0):

F(0) = 400 - 0 = 400; the y-intercept is (0, 400).

To find the x-intercept, set F(x) = y = 0 and solve for x:

0 = F(x) = 400 - (4/5)x, or (4/5)x = 400. To isolate x, multiply both

sides by (5/4): x = (5/4)(400) = 500. The x-intercept is (500, 0).

User Chatu
by
3.2k points