3.5 / 14 = how much it takes for one sentence
3.5 / 14 = 0.25
So, it takes .25 minutes for Samantha to type up one sentence.
>> THE UNIT RATE: 0.25/1
Beth travelled the remaining distance with an average speed of 52 mph
<u>Solution:</u>
Given, Beth drives 200 miles in 4 hours.
<em><u>The formula for distance speed is given as:</u></em>
--- eqn 1
<em><u>Calculating time taken for 18 miles:</u></em>
She drives the first 18 miles at an average speed of 36 mph.
Here distance = 18 miles
speed = 36 mph
Plugging in values in eqn 1 we get,
<em><u>Calculating average speed for the rest of the journey:</u></em>
Now, remaining distance = 200 miles – 18 miles = 182 miles
And time used for remaining journey = total time – time taken for first 18 miles
Plugging in values in eqn 1, we get
Thus the average speed for rest of journey is 52 mph
If I could look at the graph and it would really help....
slope = 13
the slope of the tangent is f'( 4)
given f(x) = x² + 5x , then f'(x) = 2x + 5
and f'(4) = ( 2 × 4 ) + 5 = 13