The graphs below show four functions: graph a shows function f of x equals 4 multiplied by 3 to the power of x. graph b shows function f of x equals 4 multiplied by 3 to the power of negative x. graph c shows function f of x equals 10 to the power of x. graph d shows function f of x equals 10 to the power of negative x. which graph best shows the function f(x) = 4(3)−x to represent the rate at which a radioactive substance decays? graph a graph b graph c graph d

Graph B shows function f of x equals 4 multiplied by 3 to the power of negative x.

Step-by-step explanation:

is the value 4 times three raised to the negative x. Graph B is the best representation.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)