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Olenka [21]
3 years ago
7

Andrew jogs at an average speed of 5.5 miles per hour. He is planning a jog for Saturday morning. How far can Andrew go on his j

og? Write an equation for the problem and use the equation to answer the question.
Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Let

x-------> the time in hours

y------> the distance in miles

we know that

speed=distance/time-------> speed=y/x-------> equation 1

speed=5.5 miles/hour------> equation 2

equate equation 1 and equation 2

y/x=5.5--------> y=5.5*x---------> this is the equation for the problem

  the distance that Andrew jogs will depend on the time spent

examples

a) if he runs for 2 hours,

then  

x=2 hours

y=5.5*2-------> y=11 miles          

b) if he runs for 3 hours,

then  

x=3 hours

y=5.5*3-------> y=16.5 miles        

c) if he runs for 30 minutes

then  

30 minutes=0.5 hours

x=0.5 hours

y=5.5*0.5-------> y=2.75 miles        

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Answer:

I. L = 10.35 feet

II. W = 93.15 feet.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangular field = 1700 feet

Translating the word problem into an algebraic expression, we have;

W = 9L

Mathematically, the formula for the perimeter of a rectangle is;

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A. To write an equation;

X = P = 2(L + W)

B. To find the dimensions of the field;

207 = 2(L + 9L)

207 = 2L + 18L

207 = 20L

L = 207/20

L = 10.35 feet

To find the weight;

W = 9L

W = 9 * 10.35

W = 93.15 feet.

Therefore, the width of the field is

93.15 feet and the length of the field is

10.35 feet.

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