Two trains left the station traveling in opposite directions. the distance train a traveled is modeled by the function d(t)=81t where d represents distance in miles and t represents time in hours. train b traveled a total of 324 miles in 4 hours. how does the distance train a traveled in 1 hour compare to the distance train b traveled in 1 hour? the distance train a traveled in 1 h is equal to the distance train b traveled in 1 h. the distance train a traveled in 1 h is greater than the distance train b traveled in 1 h. the distance train a traveled in 1 h is less than the distance train b traveled in 1 h.

Option A -  The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Step-by-step explanation:

Given : The distance Train A traveled is modeled by the function

where d represents distance in miles and t represents time in hours.

To find : How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?

Solution :

Distance traveled by Train A in 1 hour is

Distance traveled by Train B in 1 hour is

or for B, we have 324 miles in 4 hours. If that is at a constant speed, it travels 324/4 = 81 miles in one hour

Therefore, The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Hence, Option A is correct.

where are the choices?

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1