Suppose you have $75 to spend on gas for your whole trip. You know that gas costs $3.40 per gallon. How many gallons of gas can
you buy with $75? Write an equation to solve the problem. Round your answer to the nearest tenth of a gallon.
2 answers:
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Answer:
Yes, each x-value has a unique y-value.
Step-by-step explanation:
This is a function because each x-value has its own y-value. If this is not the case then it is not a function, because then, two points with the same x-value and different y-values would fail the VLT.
Your graph does not have overlaps and each x-value has a unique y-value
VLT
The vertical line test (VLT) is a <u>simple method that mathematicians made because</u><u> they were lazy</u><u> to make a table of values and find duplicates. </u>
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- Passing the VLT means that if you drew a vertical line anywhere on the graph, it would only go through one point.
- Failing the VLT would mean that the vertical line
A quick way to check if it is a function is by looking for duplicates of x-values and check that the duplicates have the same y-value.
-Chetan K
Images/Examples
A
this is a geometric sequence since there exists a common ratio r between the terms
r = =
=
= 3
B
to obtain the next term in the sequence multiply the previous term by 3
= 3
← recursive rule
C
the n th term of a geometric sequence is
=
where is the first term in the sequence
= 7 ×
← explicit rule