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Wewaii [24]
3 years ago
6

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:
Temka [501]3 years ago
8 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:

Statement 1, 2 and 4 are true where as statement 3 is not true.

Step-by-step explanation:

<u>Statement 1: The y-intercept is -1</u>

<em>Point (3/8, 1/2)</em>

<em>Slope = m = 4</em>

<em>y = mx + c</em>

<em>1/2 = 4(3/8) + c</em>

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<em>1/2 = 3/2 + 2c/2</em>

<em>-2 = 2c</em>

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This statement is true as the y-intercept is -1.

<u>Statement 2: The slope intercept equation is y= 4x - 1</u>

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<em>y = mx + c</em>

<em>y = 4x - 1</em>

This statement is true as the slope intercept equation is y= 4x -1

<u>Statement 3: The point slope equation is y - 3/8 = 4 (x - 1/2)</u>

<em>Point slope equation: y - y1 = m (x - x1)</em>

<em>Points: (x, y) (3/8, 1/2)</em>

<em>y1 = 1/2</em>

<em>x1 = 3/8</em>

<em>Slope = m = 4</em>

<em>y - 1/2 = 4 (x - 3/8)</em>

This statement is not true as the slope intercept equation is y - 1/2 = 4 (x - 3/8) instead of y - 3/8 = 4 (x - 1/2).

<u>Statement 4: The point (3/8, 1/2) corresponds to (x1, y1) in the point slope form of the equation</u>

This statement is true as shown in statement 3's explanation where x1 = 3/8 and y1 = 1/2

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6 0
3 years ago
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A man throws a ball into the air with a velocity of 96 ft/s. Use the formula h=−16 t 2 + v 0 t to determine when the height of t
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Answer:

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6 0
2 years ago
******ANSWER ASAP PLEASE******
Lemur [1.5K]

(1/4)^-2 - (5^0 x 2) x 1^-1 =

(4/1)^2 - (1 x 2) x 1 = 16-2 = 14

If you raise something to the power of -2, swap numerator and denominator and remove the minus.

So (1/4)^-2 = 4^2 = 16

Also 1^-1 is just 1, not -1.

8 0
3 years ago
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