I tidy up the original question to make it easily readable. Please notify me if there is any difference in context:
Consider a circle whose size can vary. Let r represent the radius of the circle (in cm) and let C represent the circumference of the circle (in cm). Suppose the function g determines the radius of the circle in cm, r, given its circumference in cm, C.
Write a function formula for g.
g(C)=
1. What does g(17) represent in this context? Select all that apply.
a)A circle with a circumference of 17 cm.
b)A circle with a radius of 17 cm.
c)The circumference (in cm) of a circle whose radius is 17 cm.
d)The radius (in cm) of a circle whose circumference is 17 cm.
2. If g(a)=17, what does aa represent in this context? Select all that apply.
a) A circle with a radius of 17 cm.
b)A circle with a circumference of 17 cm.
c)The radius (in cm) of a circle whose circumference is 17 cm.
d)The circumference (in cm) of a circle whose radius is 17 cm.
Answer:
d) The radius (in cm) of a circle whose circumference is 17 cm
d) The circumference (in cm) of a circle whose radius is 17 cm
Explanation:
C = circumference
r = radius
Function formula can be find through the formula of circumference
C = 2*pi*r
r = C/(2*pi)
Change r to a function g(C)
g(C) = C/(2*pi)
g(17) in this case represent the radius of the circle when the circumference is 17cm
g(a) = 17 indicates that the radius of the circle is 17 when the circumference is a.
Hence a is the circumference when the radius of the circle is 17.