Step by step
The question
Question: A video has 50 views.
The views double every day.
How many views are there after 6 days?
1 Find the start and the factor
The start is 50.
Double means times 2.
So the factor is 2.
start: a = 50
factor: b = 2
2 Write the rule
x is the number of days.
Each day we multiply by 2 again.
So y = 50 × 2ˣ.
y = 50 × 2x
Careful!
Doubling 6 times is times 2, 6 times over.
Not times 12.
Careful: not 50 × 2 × 6 = 600 ✗
3 Put in x = 6
After 6 days, x = 6.
y = 50 × 26
2 to the power 6 is 64.
26 = 64
So we multiply 50 by 64.
= 50 × 64
So it is 3200.
= 3200
4 Check
Let's check by going back: 3200 divided by 2 to the power 6 gives the start, 50.
It works!
3200 ÷ 26 = 50
Let's look back.
First: find the start and the factor.
Then: write the rule.
Then: put in x = 6.
Last: check.
Answer
= 3200