Q:

the last one need the right answer please

Accepted Solution

A:
Answer:Part 1) The unit rate is [tex]16\frac{dollars}{ounce}[/tex]Part 2) The unit rate is [tex]\frac{1}{4}\frac{dollars}{ounce}[/tex]Part 3) The unit rate is [tex]\frac{1}{4}\frac{dollars}{ounce}[/tex]Part 4) The unit rate is [tex]4\frac{dollars}{ounce}[/tex]see the attached figureStep-by-step explanation:we know thatThe formula to calculate the slope between two points is equal to[tex]m=\frac{d2-d1}{n2-n1}[/tex]whered ----> number of dollars (dependent variable or output value)n ---> number of ounces (independent variable or input value)Remember that the slope of the linear equation is the same that the unit rateVerify each case1) we have[tex]d=16n[/tex]This is a proportional relationship between the variables d and nThe slope is[tex]m=16\frac{dollars}{ounce}[/tex]thereforeThe unit rate is [tex]16\frac{dollars}{ounce}[/tex]2) we haveFirst tabletake two points from the table(4,1) and (16,4)substitute in the formula of slope[tex]m=\frac{d2-d1}{n2-n1}[/tex][tex]m=\frac{4-1}{16-4}[/tex][tex]m=\frac{3}{12}\frac{dollars}{ounce}[/tex]simplify[tex]m=\frac{1}{4}\frac{dollars}{ounce}[/tex]thereforeThe unit rate is [tex]\frac{1}{4}\frac{dollars}{ounce}[/tex]3) we have[tex]n=4d[/tex]This is a proportional relationship between the variables d and nisolate the variable d[tex]d=\frac{1}{4}n[/tex]The slope is[tex]m=\frac{1}{4}\frac{dollars}{ounce}[/tex]thereforeThe unit rate is [tex]\frac{1}{4}\frac{dollars}{ounce}[/tex]4) we haveSecond tabletake two points from the table(1,4) and (2,8)substitute in the formula of slope[tex]m=\frac{d2-d1}{n2-n1}[/tex][tex]m=\frac{8-4}{2-1}[/tex][tex]m=4\frac{dollars}{ounce}[/tex]thereforeThe unit rate is [tex]4\frac{dollars}{ounce}[/tex]