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

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

(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

Therefore, equation (1) becomes

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

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

step-by-step explanation:

one of the most important purposes of surface treatment is to alter surface properties according to the requirement of specific applications. for example, hydrophobic coating has been utilized on windshield and eyeglasses. gold atom monolayer on substrate has become a popular surface bioconjugation strategy.