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.

answer:   expression= p+p*d%

price reduction + sale price = $625

sale price: $p+$p*d%

where d% is the percentage of discount

step-by-step explanation:

original price = p

price went down by $150 price reduction $p*d%

sale price= $ 475

therefore the price before sale is: $625

and the expression that shows the price before sale is: p+p*d%