Hello, please help me solve this problem:

The weight w (in pounds) that can be supported by a shelf made from half-inch Douglas fir plywood can be modeled by w=(82.9/d)3 where d is the distance (in inches) between the supports for the shelf. Find the inverse of the function. Then find the distance between the supports of a shelf that can hold set of encyclopedia weighing 66 pounds.

Question

Hello, please help me solve this problem:

The weight w (in pounds) that can be supported by a shelf made from half-inch Douglas fir plywood can be modeled by w=(82.9/d)3 where d is the distance (in inches) between the supports for the shelf. Find the inverse of the function. Then find the distance between the supports of a shelf that can hold set of encyclopedia weighing 66 pounds.

delilahlouvre · Answer

@MrMudd183

delilahlouvre · Answer

Anyone hellllppp :(( this is due tomorrow and I still cant figure it out.

delilahlouvre · Answer

@supie

supie · Answer

Is "w=(82.9/d)3 " supposed to say w=(82.9/d)^3 @delilahlouvre?

delilahlouvre · Answer

attachment

delilahlouvre · Answer

it's multiplied by 3 and not to ^3

supie · Answer

So are we solving for d or w?

delilahlouvre · Answer

find the inverse function of the model w= (82.9/d)3 first then after that solve for the distance between the supports of the shelf that can hold set of the encyclopedia weighing 66 pounds.

jhonyy9 · Answer

so find the inverse of the function mean

$$w^{-1}(d) = ?$$

do you know the way to calcule it ?

Mercury · Answer

old question but will respond so this can be closed

to find the inverse, swap your independent and dependent variable (w and d) and solve for w again. the result will be your inverse.

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