Math / Data & Statistics

Question14. Restaurants have many dishes to do over the course of a day. An industrial dishwasher may do 150 loads of dishes in an 8 hour shift. What is the rate of change in this scenario? $18 \frac{3}{4}$ loads per hour 25 hours per dish 20 dishes per hour $\frac{8}{150}$ dishes per hour

Studdy Solution

STEP 1

What is this asking? How many dish loads does the dishwasher complete every hour? Watch out! Don't mix up the units – we want loads per hour, not hours per load!

STEP 2

1. Set up the Calculation
2. Calculate the Rate of Change

STEP 3

Alright, so we're given that the dishwasher does 150 loads in an 8-hour shift.
We want to find out how many loads it does in one hour.
This is a classic rate problem!

STEP 4

To find the rate of change, we need to divide the total number of loads by the total time.
Think of it like this: If the dishwasher does 150 loads in 8 hours, how many loads does it do in one hour?

STEP 5

Let's crunch the numbers: $\frac{\text{Total Loads}}{\text{Total Time}} = \frac{150 \text{ loads}}{8 \text{ hours}}$

STEP 6

Now, let's actually perform the division: $\frac{150}{8} = \frac{75}{4} = 18\frac{3}{4}$

STEP 7

So, our rate of change is $18\frac{3}{4}$ loads per hour.
This means the dishwasher completes $18\frac{3}{4}$ loads every single hour!

STEP 8

The rate of change is $18\frac{3}{4}$ loads per hour.

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Question14. Restaurants have many dishes to do over the course of a day. An industrial dishwasher may do 150 loads of dishes in an 8 hour shift. What is the rate of change in this scenario? $18 \frac{3}{4}$ loads per hour 25 hours per dish 20 dishes per hour $\frac{8}{150}$ dishes per hour

Studdy Solution

STEP 1

What is this asking? How many dish loads does the dishwasher complete every hour? Watch out! Don't mix up the units – we want loads per hour, not hours per load!

STEP 2

1. Set up the Calculation
2. Calculate the Rate of Change

STEP 3

Alright, so we're given that the dishwasher does 150 loads in an 8-hour shift.
We want to find out how many loads it does in one hour.
This is a classic rate problem!

STEP 4

To find the rate of change, we need to divide the total number of loads by the total time.
Think of it like this: If the dishwasher does 150 loads in 8 hours, how many loads does it do in one hour?

STEP 5

Let's crunch the numbers: $\frac{\text{Total Loads}}{\text{Total Time}} = \frac{150 \text{ loads}}{8 \text{ hours}}$

STEP 6

Now, let's actually perform the division: $\frac{150}{8} = \frac{75}{4} = 18\frac{3}{4}$

STEP 7

So, our rate of change is $18\frac{3}{4}$ loads per hour.
This means the dishwasher completes $18\frac{3}{4}$ loads every single hour!

STEP 8

The rate of change is $18\frac{3}{4}$ loads per hour.

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Studdy Solution

STEP 1

What is this asking? How many dish loads does the dishwasher complete every hour? Watch out! Don't mix up the units – we want loads per hour, not hours per load!

STEP 2

1. Set up the Calculation2. Calculate the Rate of Change

STEP 3

Alright, so we're given that the dishwasher does **150 loads** in an **8-hour** shift.We want to find out how many loads it does in *one* hour.This is a classic rate problem!

STEP 4

To find the rate of change, we need to **divide** the **total number of loads** by the **total time**.Think of it like this: If the dishwasher does 150 loads in 8 hours, how many loads does it do in *one* hour?

STEP 5

Let's **crunch the numbers**: Total LoadsTotal Time=150 loads8 hours \frac{\text{Total Loads}}{\text{Total Time}} = \frac{150 \text{ loads}}{8 \text{ hours}} Total TimeTotal Loads​=8 hours150 loads​

STEP 6

Now, let's actually **perform the division**: 1508=754=1834 \frac{150}{8} = \frac{75}{4} = 18\frac{3}{4} 8150​=475​=1843​

STEP 7

So, our **rate of change** is 183418\frac{3}{4}1843​ loads per hour.This means the dishwasher completes 183418\frac{3}{4}1843​ loads every single hour!

STEP 8

The rate of change is 183418\frac{3}{4}1843​ loads per hour.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Set up the Calculation
2. Calculate the Rate of Change

Alright, so we're given that the dishwasher does 150 loads in an 8-hour shift.
We want to find out how many loads it does in one hour.
This is a classic rate problem!

To find the rate of change, we need to divide the total number of loads by the total time.
Think of it like this: If the dishwasher does 150 loads in 8 hours, how many loads does it do in one hour?

Let's crunch the numbers: $\frac{\text{Total Loads}}{\text{Total Time}} = \frac{150 \text{ loads}}{8 \text{ hours}}$

Now, let's actually perform the division: $\frac{150}{8} = \frac{75}{4} = 18\frac{3}{4}$

So, our rate of change is $18\frac{3}{4}$ loads per hour.
This means the dishwasher completes $18\frac{3}{4}$ loads every single hour!

The rate of change is $18\frac{3}{4}$ loads per hour.