Home
/
Math
/
For Each Equation Determine Whether It Shows a Direct Variation (that Is, Shows Directly Proportional Variables) If It Does, Find the

Question

For each equation determine whether it shows a direct variation (that Is, shows directly proportional variables) If it does, find the constant of variation and write it in simplest form. 16y=2x Direct variation k=square Not direct variation 24x-3y=0 Direct variation k=square Not direct variation

Answer

4.7 (118 Votes)
Verificación de expertos
Jacob Professional · Tutor for 6 years

Answer

Let's tackle each equation one by one.**Equation 1:** To determine if this is a direct variation, we need to see if we can express as where is the constant of variation.Let's solve for in terms of : Since we can express as a multiple of , this is a direct variation.The constant of variation is: **The direct variation equation is and the constant of variation is .****Equation 2:** To determine if this is a direct variation, we need to isolate and see if it can be expressed in the form .Let's solve for : Since can be expressed as a multiple of , this is also a direct variation.The constant of variation is: **The direct variation equation is and the constant of variation is .**