Questions: The distance a car travels, d(t), at a constant 33 mph is given by the function d(t)=33 t, where t is the time in hours. Find the distance traveled in 3 hours. The car traveled miles in 3 hours.

The distance a car travels, d(t), at a constant 33 mph is given by the function d(t)=33 t, where t is the time in hours. Find the distance traveled in 3 hours.

The car traveled miles in 3 hours.

Transcript text: The distance a car travels, $d(t)$, at a constant 33 mph is given by the function $d(t)=33 t$, where $t$ is the time in hours. Find the distance traveled in 3 hours. The car traveled $\square$ miles in 3 hours.

Solution

Solution Steps

To find the distance traveled by the car in 3 hours, we need to evaluate the function $ d(t) = 33t $ at $ t = 3 $. This involves substituting 3 for $ t $ in the function and calculating the result.

Step 1: Define the Distance Function

The distance traveled by the car is given by the function $ d(t) = 33t $, where $ t $ is the time in hours.

Step 2: Substitute the Time

To find the distance traveled in 3 hours, we substitute $ t = 3 $ into the distance function: \[ d(3) = 33 \times 3 \]

Step 3: Calculate the Distance

Now, we perform the multiplication: \[ d(3) = 99 \]