Respuesta :

calculista

Answer:

Part 1) [tex]57\ mph[/tex]

Part 2) [tex]53\ hours[/tex]

Step-by-step explanation:

The complete question in the attached figure

Let

x ---->  represents the number  of hours that researchers have been monitoring the storm

y ---> represents the maximum  wind speed (in miles per hour) in the storm

we have

[tex]y=x+21[/tex]

This is a linear equation in slope intercept form

Part 1) What is the maximum wind speed of the storm after 36 hours of monitoring?

For x=36 hours

substitute the value of x in the linear equation

[tex]y=(36)+21=57\ mph[/tex]

Part 2) A tropical storm is classified as a hurricane when there are maximum sustained  winds of 74 miles per hour or greater. How much time does it take for this storm  to become a hurricane?

For y=74 mph

substitute the value of y in the linear equation

[tex]74=x+21[/tex]

solve for x

subtract 21 both sides

[tex]x=74-21\\x=53\ hours[/tex]

Ver imagen calculista

The maximum wind speed of the storm after 36 hours of monitoring is 57 mph and the time taken by the storm when there are maximum sustained winds of 74 mph or greater to become a hurricane is 53 hours.

Given :

  • Researchers discover that they can model the speed of the wind from the storm with the equation (y = x + 21).
  • x is the number of hours and y is the maximum wind speed.

a) The maximum wind speed of the storm after 36 hours of monitoring is calculated by substituting the value of (x = 36) in the given equation.

y = x + 21

y = 36 + 21

y = 57 mph

b) The time taken by the storm when there are maximum sustained winds of 74 mph or greater to become a hurricane is calculated by substituting the value of (y = 74) in the given equation.

y = x + 21

74 = x + 21

x = 53 hours

For more information, refer to the link given below:

https://brainly.com/question/2253924