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SAT Math 1.5 Algebra and Functions. If f (x) = x2 - 16 and g(x) = x4 - 256, what is f of x divided by g of x?
Solving inequalities using blob fish? Yes, please!
SAT Math 4.4 Numbers and Operations 188 Views
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Description:
SAT Math 4.4 Numbers and Operations
Transcript
- 00:02
And here's your math-y shmoop du jour...
- 00:04
Tiana's mom promises to pay Tiana to clean out the garage on a weekly basis.
- 00:09
She decides to pay Tiana $100 the first week,
- 00:12
and then 75% of the previous week's amount for each of the following weeks.
- 00:17
However, when the amount drops below $25, Tiana will earn a steady income of $25 per week.
Full Transcript
- 00:24
How much will Tiana earn after 10 weeks?
- 00:27
Round to the nearest dollar. And here are the potential answers...
- 00:32
To start, we need to focus on the most important information: Tiana's weekly pay.
- 00:37
In the first week, she gets paid 100 buckaroos. In the following weeks, she'll get paid
- 00:42
75% of each previous week's pay.
- 00:44
When her salary drops below $25, she'll get paid a steady amount of $25.
- 00:49
The easiest way to solve this problem is to make a chart of how much she makes each week,
- 00:52
starting with week 1 and ending with week 10.
- 00:55
Week 1, she makes $100. Week 2, she makes $75, which is 75% of $100.
- 01:02
This pattern stays the same and by week 6, she's earning $25.
- 01:06
She will continue to make $25 for the next weeks till she hits 10 weeks.
- 01:18
Now that you've got a list of her salaries
- 01:19
over all 10 weeks, just add them up... and we get $430.
- 01:24
Choice E is the correct answer.
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