Math / Algebra

QuestionCarys calculates the total amount $E$ , in dollars, that she earns for working $h$ hours using the equation $E=10 h$ .
How many dollars does Carys earn per hour? $\square$ dollars At that rate, how many hours does it take Carys to earn one dollar? $\square$ hours

Studdy Solution

STEP 1

What is this asking? How much does Carys earn for each hour she works, and how long does it take her to earn one dollar? Watch out! Don't confuse the total earnings with the rate per hour!

STEP 2

1. Find the hourly rate
2. Determine hours per dollar

STEP 3

Alright, let's dive in!
The equation given is $E = 10 \cdot h$ .
This equation tells us that the total earnings $E$ are equal to 10 times the number of hours worked, $h$ .

STEP 4

To find out how much Carys earns per hour, we need to look at the coefficient of $h$ in the equation.
Here, it's 10.
That means Carys earns 10 dollars per hour!
Woohoo!

STEP 5

Now, let's figure out how many hours it takes Carys to earn one dollar.
We know she earns 10 dollars per hour.

STEP 6

To find the time for one dollar, we need to divide to one.
We take the reciprocal of the hourly rate: $\frac{1}{10}$ .

STEP 7

So, it takes Carys $\frac{1}{10}$ of an hour to earn one dollar.
That's a quick earn!

STEP 8

Carys earns 10 dollars per hour.
It takes her $\frac{1}{10}$ hours to earn one dollar.

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QuestionCarys calculates the total amount $E$ , in dollars, that she earns for working $h$ hours using the equation $E=10 h$ .
How many dollars does Carys earn per hour? $\square$ dollars At that rate, how many hours does it take Carys to earn one dollar? $\square$ hours

Studdy Solution

STEP 1

What is this asking? How much does Carys earn for each hour she works, and how long does it take her to earn one dollar? Watch out! Don't confuse the total earnings with the rate per hour!

STEP 2

1. Find the hourly rate
2. Determine hours per dollar

STEP 3

Alright, let's dive in!
The equation given is $E = 10 \cdot h$ .
This equation tells us that the total earnings $E$ are equal to 10 times the number of hours worked, $h$ .

STEP 4

To find out how much Carys earns per hour, we need to look at the coefficient of $h$ in the equation.
Here, it's 10.
That means Carys earns 10 dollars per hour!
Woohoo!

STEP 5

Now, let's figure out how many hours it takes Carys to earn one dollar.
We know she earns 10 dollars per hour.

STEP 6

To find the time for one dollar, we need to divide to one.
We take the reciprocal of the hourly rate: $\frac{1}{10}$ .

STEP 7

So, it takes Carys $\frac{1}{10}$ of an hour to earn one dollar.
That's a quick earn!

STEP 8

Carys earns 10 dollars per hour.
It takes her $\frac{1}{10}$ hours to earn one dollar.

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QuestionCarys calculates the total amount EEE, in dollars, that she earns for working hhh hours using the equation E=10hE=10 hE=10h.How many dollars does Carys earn per hour? □\square□ dollars At that rate, how many hours does it take Carys to earn one dollar? □\square□ hours

Studdy Solution

STEP 1

What is this asking? How much does Carys earn for each hour she works, and how long does it take her to earn one dollar? Watch out! Don't confuse the total earnings with the rate per hour!

STEP 2

1. Find the hourly rate2. Determine hours per dollar

STEP 3

Alright, let's dive in!The equation given is E=10⋅h E = 10 \cdot h E=10⋅h.This equation tells us that the **total earnings** E E E are equal to **10 times the number of hours** worked, h h h.

STEP 4

To find out how much Carys earns **per hour**, we need to look at the coefficient of h h h in the equation.Here, it's **10**.That means Carys earns **10 dollars per hour**!Woohoo!

STEP 5

Now, let's figure out how many hours it takes Carys to earn **one dollar**.We know she earns **10 dollars per hour**.

STEP 6

To find the time for one dollar, we need to **divide to one**.We take the reciprocal of the hourly rate: 110\frac{1}{10}101​.

STEP 7

So, it takes Carys 110\frac{1}{10}101​ of an hour to earn **one dollar**.That's a quick earn!

STEP 8

Carys earns **10 dollars** per hour.It takes her 110\frac{1}{10}101​ hours to earn **one dollar**.

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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.

QuestionCarys calculates the total amount $E$ , in dollars, that she earns for working $h$ hours using the equation $E=10 h$ .
How many dollars does Carys earn per hour? $\square$ dollars At that rate, how many hours does it take Carys to earn one dollar? $\square$ hours

1. Find the hourly rate
2. Determine hours per dollar

Alright, let's dive in!
The equation given is $E = 10 \cdot h$ .
This equation tells us that the total earnings $E$ are equal to 10 times the number of hours worked, $h$ .

To find out how much Carys earns per hour, we need to look at the coefficient of $h$ in the equation.
Here, it's 10.
That means Carys earns 10 dollars per hour!
Woohoo!

Now, let's figure out how many hours it takes Carys to earn one dollar.
We know she earns 10 dollars per hour.

To find the time for one dollar, we need to divide to one.
We take the reciprocal of the hourly rate: $\frac{1}{10}$ .

So, it takes Carys $\frac{1}{10}$ of an hour to earn one dollar.
That's a quick earn!

Carys earns 10 dollars per hour.
It takes her $\frac{1}{10}$ hours to earn one dollar.