Answer:
A
Step-by-step explanation:
To calculate how far Latisha swims each day, we need to find the total distance she covers swimming across the diameter of the circular pool and back.
Given:
The circumference of the circular pool is 80 ft.
She swims across the diameter (which is twice the radius) of the pool and back 20 times each day.
Let's break down the calculation:
Distance per lap: When Latisha swims across the diameter and back, she covers a distance equal to the diameter of the pool. The diameter is twice the radius, so it's
2
×
radius
2×radius. Since the circumference is
2
×
radius
2π×radius, and the circumference is given as 80 ft, we can find the radius:
2
×
radius
=
80
ft
2π×radius=80 ft
radius
=
80
ft
2
radius=
2π
80 ft
radius
≈
80
2
×
3.14
ft
radius≈
2×3.14
80
ft
radius
≈
80
6.28
ft
radius≈
6.28
80
ft
radius
≈
12.74
ft
radius≈12.74 ft
So, the distance per lap is approximately
2
×
12.74
2×12.74 ft.
Total distance per day: Latisha swims across and back 20 times each day, so the total distance she covers in one day is:
Total distance
=
Distance per lap
×
20
Total distance=Distance per lap×20
Total distance
=
(
2
×
12.74
)
×
20
ft
Total distance=(2×12.74)×20 ft
Total distance
≈
25.48
×
20
ft
Total distance≈25.48×20 ft
Total distance
≈
509.6
ft
Total distance≈509.6 ft
Rounded to the nearest whole number, Latisha swims approximately 510 ft each day.
So, the answer is A. 510 ft.