Question

Compounds A and B are used in an experiment.

The equation y=500(0.5)x

represents the remaining amount of compound A, in grams, after x hours. The table shows the remaining amount of compound B.
Time (h) Grams of B
1 200
2 100
3 50

What is the positive difference in the initial amount of each compound?

Answer 1

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Answer 2

Positive Difference = 100 grams

Explanation:

We have two compound A and B

Compound A:
`y=500(0.5)^x`

We have to find initial value of compound A. For initial value, we will put x=0 into equation.

Initial amount
`=500(0.5)^0`

Initial amount of compound A = 500 grams

Compound B:

Time (h) : 1 2 3

Compound B : 200 100 50

First we have to make the function for compound B.

According to table we can see amount becomes 50% of previous value every hour.

In 1 hour, Compound B = 200 grams

Initial amount should be 50% more than 200.

Initial amount of Compound B = 400 grams

We need to find positive difference of initial amount of compound A and B

Difference = 500 - 400

Positive Difference = 100 grams

Hence, The positive difference of initial amount of Compound A and Compound B is 100 grams.