Use the figure to find the measures of the numbered angles. ∠1 = ∘ ∠2 = ∘
2 answers:
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Answer:
See attachment for plot
Step-by-step explanation:
Given
--- increment in the rate
First, we need to model the new rate
A linear equation is:
Where
Compare and
. we have:
The above represents the previous rate.
The new rate:
Rewrite as:
So, the model is:
<u>The plot at 1 and 2 minutes</u>
When
When
So, we have:
<em>Whether she moves backwards or forward, the distance covered remains the same</em>
<em>See attachment for plot</em>
Answer:
2 hours, 150 miles
Step-by-step explanation:
The relation between time, speed, and distance can be used to solve this problem. It can work well to consider just the distance between the drivers, and the speed at which that is changing.
<h3>Separation distance</h3>Jason got a head start of 20 miles, so that is the initial separation between the two drivers.
<h3>Closure speed</h3>Jason is driving 10 mph faster than Britton, so is closing the initial separation gap at that rate.
<h3>Closure time</h3>The relevant relation is ...
time = distance/speed
Then the time it takes to reduce the separation distance to zero is ...
closure time = separation distance / closure speed = 20 mi / (10 mi/h)
closure time = 2 h
Britton will catch up to Jason after 2 hours. In that time, Britton will have driven (2 h)(75 mi/h) = 150 miles.
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<em>Additional comment</em>
The attached graph shows the distance driven as a function of time from when Britton started. The distances will be equal after 2 hours, meaning the drivers are in the same place, 150 miles from their starting spot.
