The graph of f(x) = 0.4x is replaced by the graph of g(x) = 0.4x + k. if g(x) is obtained by shifting f(x) up by 4 units, then what is the value of k? k = 4 k = −4 k equals negative one fourth k equals one fourth

The value of k=4

Step-by-step explanation:

we have

f(x)=0.4x

This function represent a linear direct variation (The line passes through the origin)

we know that

If f(x) is shifting up by 4 units

then

The y-intercept of the function will be the point (0,4)

therefore

The function g(x) will be  > g(x)=0.4x+4 (equation of the line into slope intercept form)

The rule of the translation

f(x) > g(x)

(x,y) > (x,y+4)

The translation is 4 units up

therefore

The value of k=4

x/3-10=8

x/3=18

x=48

ou would have 12 of each