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At a brick laying contest, each layer of bricks is expected to be of an inch tall. Three contestants recorded the fraction of layers of brick they placed and the time it took them to place the bricks in the table below.

At a brick laying contest each layer of bricks is expected to be of an inch tall Three contestants recorded the fraction of layers of brick they placed and the class=

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Answer:

First, determine the number of inches each contestant made by multiplying the fraction of layers by the height of each layer.

Next, determine what fraction of an hour each contestant took to make their fraction of layers by writing each number of minutes as a fraction of 60 minutes.

Last, determine each contestant’s unit rate in inches per hour.

So, Zeke's unit rate was  of an inch per hour.

Melanie's unit rate was  of an inch per hour.

To find out how much greater Zeke's unit rate was than Xavier's unit rate, subtract Xavier's unit rate from Zeke's unit rate.

Therefore, Zeke's unit rate was  of an inch per hour greater than Xavier's unit rate.

Step-by-step explanation:

Each contestant's unit rate in inches per hour is as Zeke's unit rate is [tex]\frac{9}{16}[/tex]inches per hour, Melanie's unit rate [tex]\frac{3}{8}[/tex] inches per hour, and Zeke's unit rate was not greater than Xavier's unit rate.

What is unit rate ?

Unit rate divide the denominator with the numerator in a way that the denominator becomes [tex]1[/tex].

We have,

Each layer of brick is [tex]\frac{5}{8}[/tex] inches tall.

Zeke lays [tex]\frac{3}{5}[/tex] layers of fraction in [tex]40[/tex]  minutes.

Melanie lays [tex]\frac{4}{5}[/tex] layers of fraction in [tex]80[/tex]  minutes.

Xavier lays [tex]\frac{6}{5}[/tex] layers of fraction in [tex]55[/tex]  minutes.

So, Number of inches made by every contestant;

Zeke lays inches of brick [tex]=\frac{5}{8} *\frac{3}{5}=\frac{3}{8}[/tex]

Melanie lays inches of brick [tex]=\frac{5}{8} * \frac{4}{5} = \frac{1}{2}[/tex]

Xavier lays inches of brick [tex]=\frac{5}{8} * \frac{6}{5} = \frac{3}{4}[/tex]

Now, Unit rate of every contestant;

Zeke's unit rate [tex]=\frac{3}{8} * \frac{60}{40} = \frac{9}{16}[/tex]  inches per hour

Melanie's unit rate [tex]=\frac{1}{2} * \frac{60}{80} = \frac{3}{8}[/tex] inches per hour

Xavier's unit rate [tex]= \frac{3}{4} * \frac{60}{55} = \frac{9}{11}[/tex]  inches per hour

Now, to find that how much Zeke's unit rate was greater than Xavier's unit rate:

We will find the difference between their unit rate;

i.e.

Zeke's unit rate [tex]-[/tex] Xavier's unit rate [tex]= \frac{9}{16} - \frac{9}{11} = \frac{-45}{176}[/tex]

That means Zeke's unit rate is not greater than Xavier's unit rate.

Hence, we can say that each contestant's unit rate in inches per hour is as Zeke's unit rate is [tex]\frac{9}{16}[/tex] inches per hour, Melanie's unit rate [tex]\frac{3}{8}[/tex] inches per hour, and Zeke's unit rate was not greater than Xavier's unit rate.

To know more about unit rate click here

https://brainly.com/question/11258929

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