Does each equation represent exponential decay or exponential growth? Drag and drop the choices into the boxes to correctly complete the table.

  decay: a, b

  growth: c, d, e, f

  neither: g

Step-by-step explanation:

A function is exponential if it has the independent variable in an exponent. g(x) is a linear function, not an exponential function.

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An exponential function is a growth function if the coefficient of the variable is positive and the base of the exponent is greater than 1. It is a decay function if the exponent is positive and the base is less than 1.

The first two functions are decay functions. The remaining four exponential functions are growth functions.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.