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

2 answers

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