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2 answers:
Answer: Choice C)
The domain is the set of possible x values or allowed inputs. The left-most point has x = -6 as the smallest allowed x value, while the right-most point has x = 2 as the largest allowed x value.
The domain is the set of numbers between -6 and 2, including both endpoints. So we write
If you want the domain written in interval notation, then you would have [-6, 2]. The square brackets tell the reader "include the endpoint".
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Answer:
The equation relates the variables is y = 8x ⇒ D
Step-by-step explanation:
If x and y vary directly (y ∝ x), then y = k x, where
- k is the constant of variation
- k can be found using the initial value of x and y
∵ The variable x and y vary directly
∴ y ∝ x
→ By using the rule above
∴ y = k x
∵ y = 40 when x = 5
∴ The initial values of x and y are x = 5 and y = 40
→ Substitute them in the equation above to find k
∵ 40 = k(5)
∴ 40 = 5k
→ Divide both sides by 5
∵ =
∴ 8 = k
→ Substitute the value of k in the equation above
∴ y = 8x
∴ The equation relates the variables is y = 8x