Writing Equations from Unit Rate
1 answer:
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Answer:
The Distance cover by Brandy rod at slower speed of bike is 61.2 miles .
Step-by-step explanation:
Given as :
The total distance cover by Brady rode with bike = d = 70 miles
The total time taken by Brady rode with bike = 4 hours
The time taken for average speed of 17 mph = t hours
Let The time taken for average speed of 22 mph = (4 - t) hours
Let The distance cover for slower speed = d miles
<u>Now, From formula </u>
Distance = speed × time
So, Total distance cover = distance at slower speed + distance at faster speed
Or, 70 miles = 17 mph × t hours + 22 mph × (4 - t) hours
Or, 70 = 17 t + 22 × 4 - 22 × t
or, 70 = 88 + 17 t - 22 t
or, 22 t - 17 t = 88 - 70
or, 5 t = 18
∴ t =
i.e t = 3.6 hours
So, The time taken for average speed of 17 mph = t = 3.6 hours
And The time taken for average speed of 22 mph = (4 - 3.6) = 0.4 hour
So, Distance cover at slower speed = slower speed × time at slower speed
i.e d = 17 mph × 3.6 h
Or, d = 61.2 miles
So, Distance cover at slower speed = d = 61.2 miles
Hence, The Distance cover by Brandy rod at slower speed of bike is 61.2 miles . Answer
<h2>Explanation:</h2><h3>Part A.</h3>
The boundary lines of both inequalities will be dashed, because neither includes the "or equal to" case.
The first inequality solution area is bounded by a line with slope +5 and y-intercept +5. The solution area is above the line (y is greater than ...). Since the line rises steeply, the solution area looks to be to the left of the line. (It is shaded red on the attached graph.)
The second inequality solution area is bounded by a line with slope -1/2 and y-intercept +1. The solution area for this inequality is also above the line.
The solution area is where the two solution spaces overlap, in the quadrant to the upper left of the point where the lines intersect.
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<h3>Part B.</h3>The graph shows the point (-2, 5) to be in the solution space.
We can show this point satisfies both inequalities.
- 5 > 5(-2)+5 ⇒ 5 > -5 . . . true
- 5 > (-1/2)(-2) +1 ⇒ 5 > 2 . . . true