Answer:
a). 40 feet
b). 10 + 6t
c). Distance between the mail box and Jose is directly proportional to the time elapsed.
Step-by-step explanation:
Jose is standing 10 feet east of a mail box. If he starts walking with a constant speed 6 feet per second east of the mail box then
a). Distance traveled in 5 seconds with the same speed of 6 feet per second
= (6×5)
= 30 feet
Therefore, distance from the mail box = 10 + 30 = 40 feet
b). In time t distance traveled by Jose = Speed × Time
= 6t meter
Distance between mail box and Jose = (10 + 6t) meter
Formula will be, [tex]S_{t} =10+6t[/tex]
c). From the given formula,
[tex]S_{1} =10+6\times 1=16[/tex]
[tex]S_{2} =10+6\times 2=22[/tex]
We can observe that with the increase in time, Jose distance from the mail box is increasing.
Therefore, S ∝ t.