On a typical morning, 133 vehicles pass the El Fiero Leon Bridge. But starting at 8 a.m on parade day, the traffic increases by 19% each hour. How many cars pass the bridge as the parade starts at 4 p.m? (Show all work)

Respuesta :

534 cars pass the bridge as the parade starts at 4 p.m

Step-by-step explanation:

Here we have , On a typical morning, 133 vehicles pass the El Fiero Leon Bridge. But starting at 8 a.m on parade day, the traffic increases by 19% each hour. We need to find How many cars pass the bridge as the parade starts at 4 p.m. Let's find out:

Initially there are 133 vehicles and they increase at a rate of 19% per hour ! Time elapse between 8 am and 4 pm is : 8 hours , So , Number of cars pass the bridge as the parade starts at 4 p.m is given by :

⇒ [tex]133( 1+ \frac{19}{100} )^8[/tex]

⇒ [tex]133( 1+ 0.19)^8[/tex]

⇒ [tex]133( 1.19)^8[/tex]

⇒ [tex]534[/tex]

Therefore , 534 cars pass the bridge as the parade starts at 4 p.m