The peregrine falcon is the fastest known bird, with a maximum speed of 320 kilometers per hour. Which of the following equations, where D represents the distance in kilometers and T represents time in hours, represents a speed that is less than that of the falcon? Choose all correct answers. A) D = 230T B) D = 3.2T C) D = 2300T D) D = 23T

To determine which equations represent a speed less than that of a peregrine falcon (which can fly at a speed of 320 kilometers per hour), we need to analyze the coefficients of T in each equation, since those coefficients represent speed (distance divided by time).

Here are the equations:

A) D = 230T B) D = 3.2T C) D = 2300T D) D = 23T

Now let's look at each equation to see if the speed (the coefficients of T) is less than 320 km/h.

A) D = 230T This equation implies a speed of 230 kilometers per hour (230 km/h), since for every hour (T), the distance (D) covered is 230 kilometers. This is less than 320 km/h.

B) D = 3.2T This equation implies a speed of 3.2 kilometers per hour, since for every hour (T), the distance (D) covered is 3.2 kilometers. This is much less than 320 km/h.

C) D = 2300T This equation implies a speed of 2300 kilometers per hour, since for every hour (T), the distance (D) would be 2300 kilometers. This is greater than 320 km/h.

D) D = 23T This equation implies a speed of 23 kilometers per hour, since for every hour (T), the distance (D) is 23 kilometers. This is also less than 320 km/h.

Therefore, the equations where the speed is less than that of the peregrine falcon (320 km/h) are:

A) D = 230T B) D = 3.2T D) D = 23T