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.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour