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

Respuesta :

Answer: Carys earns $10 per hour and  earn $1 in [tex]\frac{1}{10}[/tex] hour .


Step-by-step explanation:

Given: Carys calculates the total amount E, in dollars, that she earns for working h hours.

She use the equation to calculate the total amount  [tex]E=10h[/tex].

Foe h=1, [tex]E=10(1)[/tex]

[tex]\Rightarrow\ E=\$10[/tex]

hence, she earns $10 in one hour.

Therefore, Carys earns $10 per hour.

Let she earn $1 then put E=1 in the equation, we get

[tex]1=10h\\\Rightarrow\ h=\frac{1}{10}\ hour[/tex]

Hence, she earn $1 in [tex]\frac{1}{10}[/tex] hour .

She earns $10 per hour means in 1/10 hour she can earn $1.

Given

Cary calculates the total amount E, in dollars, that she earns for working h  hours using the equation E = 10h.

How to identify the rate of change?

It is the fraction of the change in output to change in input. We take fractions so as to get the value of change in output as the input changes by a single unit.

The expression is used to calculate the earning of Cary per hour.

E = 10h

Where E represents the total cost and h represents the number of hours.

Therefore,

The number of dollars does Cary earn per hour is;

Substitute h = 1 in the equation

[tex]\rm E=10\times h\\\\E=10\times 1\\\\E=10[/tex]

Cary earns $10 per hour.

Hence, she earns $10 per hour means in 1/10 hour she can earn $1.

To know more about the rate of change click the link given below.

https://brainly.com/question/9196164