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V = 1200(2)^d is the number of video views d days from now. What…

Step by step, with the reason for every step · What the numbers mean · Algebra 1

Step by step

The question

Question: V = 1200(2)ᵈ is the number of video views d days from now.

What does 2 mean?

We write the equation big, so we can label it.

V = 1200(2)d

1 What the letters mean

V is the number of video views.

d is the number of days.

It is the small raised number, the power: how many times we multiply by 2.

2 Make a small table

To see what each number does, we try a few days: 0, 1 and 2.

0 is where it starts.

d = 0: no days have passed, so we multiply by 2 zero times.

That is why 2 to the power 0 is 1.

1200 times 1 is 1200.

d = 0: 1200 × 20 = 1200 × 1 = 1200
1200

d = 1: 2 to the power 1 is just 2.

1200 times 2 is 2400.

d = 1: 1200 × 21 = 1200 × 2 = 2400
2400

d = 2: 2 squared is 2 times 2.

1200 times 2 is 2400.

Times 2 again: 2400 times 2 is 4800.

d = 2: 1200 × 22 = 1200 × 2 × 2 = 2400 × 2 = 4800
4800

Look at the values of V: 1200, 2400, 4800.

Each time d goes up 1, V is multiplied by 2.

The same number every time.

3 Find the numbers in the table

Now we write the equation again, and label its numbers.

V = 1200(2)d

1200 is V at d = 0: the first number in the table.

So 1200 is the number of video views at the start.

2 is what we multiply by, once for each day.

That is the power d: it counts the days.

Careful!

2 is multiplied, not added.

Look at the table: 1200, 2400, 4800.

Careful: not + 2 each day ✗

4 Say it in words

So 2 means: the number of video views doubles each day.

Times 2 is double.

5 Check

Let's check one more step: 2400 times 2 is 4800: the table at d = 2.

It works!

2400 × 2 = 4800

Let's look back.

First: what the letters mean.

Then: make a small table.

Then: find the numbers in the table.

Then: say it in words.

Last: check.

Answer
V = 1200(2)d

Your turn

Try this one yourself, then check:

Show the answer
doubles each day

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