A container in the shape of a right circular cone of height 10 cm and base radius 1 cm is catching the drips from a tap leaking at the rate of 0.1 cm3/s.
Find the rate at which the surface area of water is increasing when the water
is half-way up the cone.

Step-by-step explanation:

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

table 3 represents a direct variation function. : )