Select the correct answer.
2 answers:
Answer:
Jonathan and Seth have the same rate i.e 1/2 laps/minute.
Step-by-step explanation:
Consider the provided table.
To find the rate use the formula
Calculate the rate for each swimmers.
Jonathan:
He completed 2 laps in 4 minutes. Thus the rate is:
lap/minute
Julian:
Julian completed 1 laps in 1 minutes. Thus the rate is:
lap/minute
Seth:
Seth completed 3 laps in 6 minutes. Thus the rate is:
lap/minute
Bennett:
Bennett completed 7 laps in 21 minutes. Thus the rate is:
lap/minute
Taylor:
Taylor completed 4 laps in 7 minutes. Thus the rate is:
lap/minute
From the above calculation it is clear that Jonathan and Seth have the same rate i.e 1/2 laps/minute.
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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