Answer:
.
Step-by-step explanation:
The given infinite series is .
The first term of this series is .
The common ratio is .
.
The sum of this infinite series is given by the formula,
We now substitute all the above values in to this formula obtain,
This implies that,
This simplifies to,
.
The correct answer is C.
a) The quantities vary directly
b) The constant of variation is 2.5
Step-by-step explanation:
Lets us revise the direct and inverse variation
∵ 16 factory workers made 40 pieces in a certain amount of time
- If the number of worker increased, then the number of pieces
increased in the same certain time, if the number of worker
decreased, then the number of pieces also decrease in the
same certain time
∴ The the number of workers and the number of pieces produce
vary directly
∴ Number of pieces produced = k × number of worker
a) The quantities vary directly
∵ The number of worker = 16
∵ The number of pieces produced = 40
- Substitute these values in the equation of variation above
∴ 40 = k × 16
- Divide both sides by 16
∴ k = 2.5
b) The constant of variation is 2.5
Learn more:
You can learn more about variation in brainly.com/question/10708697
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