Question

A graph shows two lines, f(x) and g(x), both with a y-intercept of 5.
`f(x) increases by 2 units for every 1-unit increase of x`
`g(x) increases at a rate that is twice that of f(x)`

How many units larger is the value of g(4) than the value of f(4)?

Answer 1

@phi

Answer 2

@hartnn

Answer 3

Given the information in the question, can you work out the equation of f(x) and g(x)? You're given the intercept for both, and the rate of change for f(x) and the relationship between f(x) and g(x).

Answer 4

f(x) = 2x + 5
g(x) = 4x + 5

Answer 5

yes now just input x=4 into both equations and find out the values

Answer 6

f(x)
(0,5)
(1,7)
(2,9)
(3,11)
(4,13)

g(x)
(0,5)
(1,9)
(2,13)
(3,17)
(4,21)

Answer 7

21 - 13 = 8

Would the answer be 8?

Answer 8

yes

Answer 9

Thanks!

Answer 10

No problem