A sloth travels at a rate of 0.5 meters per minute.a. Write a rule to describe the function.b. How far will the sloth travel in 8 minutes?

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d(t) = 0.5t; b. 4 meters
d(t) = t + 0.5; b. 4.3 meters
d(t) = 0.5t + 1; b. 4.1 meters
d(t) = 0.5t; b. 4.2 meters

distance = speed * time = 0.5 meters/min * t min = 0.5 * 8 = 4 meters

d(t) = 0.5 t ; 4 meters

If a sloth travels at a rate of 0.5 meters per minute then:

d = 8 min • 0.5 m / min = 8 • 0.5 m = 4 m

Check result:

Every one minutes travel 0.5 m

After 1 min travel 0.5 • 1 = 0.5 m

After 2 min travel 0.5 • 2 = 1 m

After 3 min travel 0.5 • 3 = 1.5 m

After 4 min travel 0.5 • 4 = 2 m

After 5 min travel 0.5 • 5 = 2.5 m

After 6 min travel 0.5 • 6 = 3 m

After 7 min travel 0.5 • 7 = 3.5 m

After 8 min travel 0.5 • 8 = 4 m

a. d(t) = 0.5t

b. The sloth will travel 4 meters in 8 minutes.

a. The rule to describe the function is: d(t) = 0.5t, where d(t) represents the distance traveled by the sloth in meters and t represents the time in minutes.

b. To find out how far the sloth will travel in 8 minutes, we need to substitute t with 8 in the function:

d(8) = 0.5 * 8 = 4

Therefore, the sloth will travel a distance of 4 meters in 8 minutes.

The correct answer is: d(t) = 0.5t; b. 4 meters

a. Write a rule to describe the function:

The rule to describe the function is d(t) = 0.5t, where d(t) represents the distance traveled by the sloth in meters and t represents the time in minutes.

b. How far will the sloth travel in 8 minutes?
To find out how far the sloth will travel in 8 minutes, we can substitute t = 8 into the function:
d(8) = 0.5(8) = 4

Therefore, the sloth will travel 4 meters in 8 minutes.

The correct answer is:
b. 4 meters