Question

Start the first question where it says start. Pick the true statement to go to the next box. Place a star on the boxes you use for your path to the Finish. You may or may not use all the stars. ( i have the stars, just tell me where to put them)

Answer 1

Here, we want to get the correct path to the finish line

Out of all the options, only one of the directions are correct and it is where we have to place our star

a) We start with the interest

The general form of the compound interest is;

`f(x)=I(1+r)^n`

The difference in both values is the inside value

The 1.5 and 1.05

As we all know, this represents the rate

5% is same as 5/100 = 0.05

This is what we add to 1 and it is 1.05

So the correct one is the f(x) that has 1.05 as the growth rate

b) we have;

`g(x)=20(0.87)^x`

As we can see, the value in the bracket is less than 1. This shows a decreasing exponential function

c) We want to check if what we have is a decay or a growth

As we can see, the value in the bracket is less than 1; That means we are to expect a decrease in value which indicates a decay

d) From what we have here, the y-intercept is the leading coefficient before the bracket

This mean that the y-intercept here is the value 5

e) Here, we want to get the growth percentage;

We consider what we have in the bracket which is 1.32

1.32 is same as (1 + 0.32)

0.32 is same as 32/100 which is 32%

Since this is greater than 1, the growth percentage is 32%

f) We want to get the initial value here

This is the value outside or before the opening of the bracket

We have the value of 50 as the initial value

g) Here, we have the class experiment

We have the initial value as 70

This means the value 70 is at the very beginning of the bracket

h) here, we want to get the intercept from the graph

The intercept is on the value 4 (this is the initial value of 4) and that leads us to the finishing star

f)