Question

The equation d=3t represents the relationship between the distance (d) in inches that a snail is from a certain rock and the time (t) in minutes.1. How many minutes does it take the snail to get 9 inches from the rock? minutes2. How far will the snail be from the rock after 9 minutes? inches3. Look back at the equation. What does the number 3 represent?

Answer 1

1. 3 minutes

2. 27 inches

3. The snails moves at 3 inches per minute

Step-by-step explanation:

1. We know that the equation gives d = 3t gives us the distance travelled (in inches) in time t ( in minutes).

Now, how many minutes does it take the snail to travel 9 inches? The answer is given by putting d = 9 into the above equation.

`9=3t`

dividing both sides by 3 gives

`t=(9)/(3)`
`\boxed{t=3\min \text{. }}`

Therefore, it takes the snail 3 minutes to cover 9 inches.

2. To find out, we put t = 9 into the above equation gives

`d=3\cdot9`
`\Rightarrow\boxed{d=27\; in\text{.}}`

Hence, the snail travels 27 inches in 9 minutes.

3. In the equation d = 3t what does 3 mean?

The fomula d = 3t is a distance formula d = vt with v = 3.

Since in the distance formula v = speed, we conclude that 3 in the equation represents the speed of the snail.

which means that the 3 is the speed of the snail.