Answer:
Option C is correct
[tex]1\frac{1}{8}[/tex]
Step-by-step explanation:
Unit rate defined as the rate are expressed as a quantity as 1 such as 3 meter per second or 4 feet per seconds.
As per the statement:
Chef Johnson used 4 1/2 cups of flour to make 4 fruit cakes.
By unit rate definition we have;
[tex]\text{Unit rate per fruit cake}=\frac{\text{Number of cups of flour used}}{\text{Number of fruit cakes}}[/tex]
Substitute the given values we have;
[tex]\text{Unit rate per fruit cake}=\frac{\frac{9}{2}}{4}[/tex]
⇒[tex]\text{Unit rate per fruit cake}=\frac{9}{8}=1\frac{1}{8}[/tex] cups of flour
Therefore, [tex]1\frac{1}{8}[/tex] cups of flour are needed for 1 fruit cake.
There are [tex]1\dfrac{1}{8}[/tex] cups of flour are needed for 1 fruit cake.
Chef Johnson used 4 1/2 cups of flour to make 4 fruit cakes.
Unit rate is said to be the amount of something in each unit or per unit.
Chef Johnson used 4 1/2 cups of flour to make 4 fruit cakes.
The number of cups of flour is needed for 1 fruit cake is;
[tex]\rm {Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} = \dfrac{Number \ of\ cups \ used \ flour}{Number \ of \ fruit \ cake}\\\\{Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} =\dfrac{4\dfrac{1}{2}}{4}}\\\\ {Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} =\dfrac{\dfrac{4\times 2+1}{2}}{4}}\\\\[/tex]
[tex]\rm {Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} =\dfrac{\dfrac{8+1}{2}}{4}\\\\\rm {Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} =\dfrac{\dfrac{9}{2}}{4}\\\\{Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} = \dfrac{9}{2} \times \dfrac{1}{4}\\\\{Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} =\dfrac{9}{8}\\\\ {Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} =1\dfrac{1}{8}[/tex]
Hence, there are [tex]1\dfrac{1}{8}[/tex] cups of flour are needed for 1 fruit cake.
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https://brainly.com/question/11258929
