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inna [77]
3 years ago
7

Darren can get to work in 30 minutes. the speed limit is 35 mph, but there are three stop lights. with the traffic and lights, h

e can average 30 mph. how far is he from work?
Mathematics
1 answer:
Radda [10]3 years ago
3 0
To solve this problem you must apply the proccedure shown below:
 1. You have that Darren can get to work in 30 minutes and <span>with the traffic and lights, he can average </span>30 mph<span>.Therefore, you must apply the formula for calculate the distance, which is:
 </span>d=Vt&#10;<span>
 Where </span>V<span> is the speed and </span>t&#10;<span> is the time.
 2. The time in hours is:
 </span>30 min=1/2 h&#10;<span>
 3. Substituying values, you have:
 </span>d=(30 mph)(1/2 h) \\ d=15 miles
<span> The answer is:</span>15 miles
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Explicit Formula

Just in case you don't know what this is, the explicit formula is the formula that solves for any term in the series without necessarily knowing what came before the term you are solving.

<em><u>Givens</u></em>

d = t_(n + 1) - t_n  You can take any term and the next term for this part of the formula

d = t_3 - t_2

t_3 = 1

t_2 = -7

d = 1 - - 7 = 8

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<em><u>Formula</u></em>

t_n = a + (n - 1)*d

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For example find the 5th term.

t_5 = - 15 + (5 - 1)*8

t_5 = - 15 + 4 *8

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t_5 = 17  Which is what you have.

Recursive Formula

Computers really like this formula. They use it in what is called a subroutine and they pass values from one part of the program to a subroutine which evaluates the given and sends the result back. I'm telling you all this so you see why you are doing it. The disadvantage of it for humans is that you must know the preceding term to use the recursive formula.  

<em><u>Formula</u></em>

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t_6 = 25

You can check this by using the explicit formula.

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