To which subset of real numbers does -18 not belong?
1 answer:
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Answer:
The rate of change is 0.08 and the initial value is 24.
Step-by-step explanation:
1. You have the following formula:
2. It has the form of a equation of the line, which is:
Where is the slope, which gives the rate of change and
is the y-intercept (The initial value, when
)
3. Therefore, the rate of change of the given formula is:
4. And the initial value is:
Answer:
The value of p at q = 5 is 406.25
Step-by-step explanation:
∵ p varies directly as the cube of q
→ That means p ∝ q³
∴ The equation of variation is p = kq³, where k is the constant of variation
∵ p = 26 when q = 2
→ Use them to find the value of k
∵ 26 = k(2)³
∴ 26 = k(8)
∴ 26 = 8k
→ Divide both sides by 8
∴
∴ 3.25 = k
→ Substitute it in the equation of variation
∴ p = 3.25 q³ ⇒ equation of variation
∵ q = 5
→ Substitute it in the equation of variation to find p
∴ p = 3.25 (5)³
∴ p = 406.25
∴ The value of p at q = 5 is 406.25