Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Jeff hiked for 2 hours and traveled 5 miles. If he continues at the same pace, which equation will show the relationship between the time, t, in hours he hikes to distance, d, in miles? Will the graph be continuous or discrete?

a) d = 0.4t, discrete
b) d = 0.4t, continuous
c) d = 2.5t, discrete
d) d = 2.5t, continuous

Sagot :

skyluke89

d) d = 2.5t, continuous

Explanation:

Jeff is traveling at the same pace, so he is moving at constant speed: its motion is a uniform motion, so the distance he covers (d) as a function of the time (t) is expressed by the law

[tex]d=vt[/tex] (1)

where v is Jeff's speed.

We can find the speed from the initial data:

t = 2 hours

d = 5 miles

so, the speed is given by the ratio between the distance and the time

[tex]v=\frac{d}{t}=\frac{5 miles}{2 h}=2.5 mph[/tex]

Therefore, equation (1) becomes

[tex]d=2.5 t[/tex]

and the graph is continuous, because t can have any real value.

Answer:d = 2.5t, continuous

Step-by-step explanation:

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.