Ms. Spilker rode her bike 30 miles in 2 hours. How far did she ride her bike in 0.5 hours?(1 point)%0D%0AResponses%0D%0A%0D%0A10 miles%0D%0A10 miles%0D%0A%0D%0A7.5 miles%0D%0A7.5 miles%0D%0A%0D%0A12.5 miles%0D%0A12.5 miles%0D%0A%0D%0A5 miles
Ms. Spilker rode her bike at a rate of 30 miles/2 hours = <<30/2=15>>15 miles/hour.
Therefore, in 0.5 hours, she would have ridden 15 miles/hour * 0.5 hours = <<15*0.5=7.5>>7.5 miles.
So, she rode her bike 7.5 miles in 0.5 hours.
To find out how far Ms. Spilker rode her bike in 0.5 hours, we can first calculate her average speed.
Average speed is calculated by dividing the distance traveled by the time taken.
Given information:
Distance = 30 miles
Time = 2 hours
Average speed = Distance / Time
Average speed = 30 miles / 2 hours
Average speed = 15 miles per hour
Now, we can use the average speed to find the distance traveled in 0.5 hours.
Distance = Speed × Time
Distance = 15 miles per hour × 0.5 hours
Distance = 7.5 miles
Therefore, Ms. Spilker rode her bike 7.5 miles in 0.5 hours.
To find out how far Ms. Spilker rode her bike in 0.5 hours, we can set up a proportion using the given information that she rode 30 miles in 2 hours.
Let's call the distance Ms. Spilker rode in 0.5 hours "x". The proportion can be set up as:
30 miles / 2 hours = x miles / 0.5 hours
To solve the proportion, we can cross multiply:
2 hours * x miles = 30 miles * 0.5 hours
2x = 15
Divide both sides of the equation by 2:
x = 7.5 miles
Therefore, Ms. Spilker rode her bike 7.5 miles in 0.5 hours. So, the correct response is: 7.5 miles.