Carolina is traveling away from home. She started 15 miles from home and is heading to a location that is 185 miles away. Carolina is traveling at a rate of 55 miles per hour. Write an equation to represent this scenario and find out how long it will take her, to the nearest tenth of an hour, to get to her location.(1 point)

Question

Responses

y=55x+15
; 3.1 hours
y equals 55 x plus 15 ; 3.1 hours

y=15x+55
; 8.7 hours
y equals 15 x plus 55 ; 8.7 hours

y=55x+15
; 3.091 hours
y equals 55 x plus 15 ; 3.091 hours

y=55x+15
; 3 hours

Answer 1

To represent the scenario, we first define our variables:

• Let \( x \) be the time in hours that Carolina is traveling.
• The distance she travels can be calculated as speed times time, so the distance is \( 55x \) miles.
• She starts 15 miles from home and needs to travel to a location 185 miles away, meaning she needs to cover a total distance of \( 185 - 15 = 170 \) miles.

The equation can be set up as follows:

\[ 55x = 170 \]

Now, we can solve for \( x \):

\[ x = \frac{170}{55} \approx 3.09090909 \]

Rounding to the nearest tenth, \( x \approx 3.1 \) hours.

Thus, the equation representing her travel is \( y = 55x + 15 \), and it will take Carolina approximately 3.1 hours to reach her location.

So the correct response is:

y=55x+15; 3.1 hours