The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s? s = StartFraction 3 Over 10 EndFraction m s = StartFraction 10 Over 3 EndFraction m m = StartFraction 3 Over 10 EndFraction s m = StartFraction 1 Over 30 EndFraction s. ⇔ HELP

Step-by-step explanation:

Given

Mass = 30g

Spring Stretch = 9cm

Variation: Direct Variation

Required

Equation that relates the mass of the object, m, and the length of the spring, s

Let m represents mass and s represents length of the spring

Given that s varies directly to m;

This implies that

Convert the above to an equation

; where k is the constant of variation;

The next step is to solve for k

Divide both sides by m

From the given parameters;

when m = 30; s = 9.

Divide the numerator and denominator by 3

To get the equation that relates the mass of the object to the length of the spring

Substitute in

This becomes

Hence, the equation that relates the mass and length is