PLEASE HELP ME ASAP WILL MARK BARINLIEST

Imani was asked to give an example of a situation that can be represented by an exponential function. Her answer is given below:

The population of frogs in a pond has been in decline for the past few decades. Each decade, the population is half of what it was the previous decade.

is she correct? explain.

Yes, she is Correct

Step-by-step explanation:

I could prove this through writing the exponential equation that resembles this equation, but it's simpler than that:

It mentions that the population would be half of what it was before (a decade before). Now it is safe to say that every exponential (not decaying) equation gradually increases so that every value differs from it's consecutive value through multiplication of a constant.

That is why, given the population would be half of what it was before, 0.5 acts as the 'constant' and the word problem can be modeled by an exponential graph + exponential function.

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.

table 3 represents a direct variation function. : )