Answer: a.) I take a shoe size 12
b.) Runner B is 35 m from starting line
Step-by-step explanation:
a) The variable h (height) is in inches, so, first, transform feet in inches:
1 ft = 12 in
5ft = 5.12 = 60 in
My height is 5ft 10in, then, my height in inches is: h = 60 + 10 = 70
To determine my shoe size:
[tex]s=\frac{1}{10}(70)+5[/tex]
s = 12
For me, who is 5ft 10in tall, my shoe size is 12.
b) Runner B is 10m in front of the starting line, which means runner's initial position is 10. Linear relationship between speed and position is given by:
[tex]x=x_{0}+v.t[/tex]
where
x₀ is initial position
v is speed
t is time
Replacing and solving:
x = 10 + 2.5t
x = 10 + 2.5(10)
x = 35
After 10s, Runner B is 35 meters ahead of the starting line
