Greg made pudding every weekend. the more times he made pudding, the more practice he gained. the time he took to make the same amount of pudding every week decreased with practice. the function below shows the number of hours f(x) greg took to make pudding after he had made it x times: f(x) = 2(0.8)x which graph best represents the function?

Here,  the number of hours ∝ the number of times he did practice

And, this relation is described by the function,

Where,  x is the number of times

f(x) is the number of hours.

The above function f(x) is an exponential function.

Having the y-intercept = (0,2)

But it does not have x-intercept.

End Behaviour:

Since 0.8 < 1

Therefore, the end behaviour of the function f(x) is,

As ,

And, as ,

Thus, from the above information we can plot the graph of the given function. (shown below)

d

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.