Suppose we want to add some punch to a partially filled drin

Suppose we want to add some punch to a partially filled drink dispenser of punch. We know that a 50 ounce bottle of punch will increase the height of the punch in the dispenser by 2.2 inches. Let h represent the varying height of the punch in the dispenser (in inches) and let v represent the varying volume of punch in the dispenser (in ounces). Represent the relationship described using delta notation, using \"d\" to enter Delta. (For example, type dx + 5 for Delta x + 5 .) Represent the relationship described using delta notation, using \"d\" to enter Delta. Suppose we are fertilizing our lawn and didn\'t buy enough fertilizer. We want to describe the relationship between how many more square feet of lawn we have to cover and how many more pounds of fertilizer to purchase. We know that a 12 pound bag of fertilizer covers 5500 square feet. Let w represent the varying weight of fertilizer we purchase and let s represent the varying number of square feet of lawn we have to cover. Represent the relationship described using delta notation, using \"d\" to enter Delta. Represent the relationship described using delta notation, using \"d\" to enter Delta.

Solution

a.1. Your answer is absolutely correct

dh/dv= 2.2/50= .044

dh= .044 dv

please type .044dv in the textbox

2. dv/dh=50/2.2

dv= 50dh/2.2

please type 50dh/2.2 in the textbox

b. dw/ds=12/5500

dw= 6ds/2750

2. ds/dw= 5500/12=458.33

ds=458.33dw