Question

Rosa earns $12 per hour. In 7.5 hours, she will earn x dollars. Which is a valid proportion that can be used to solve the problem?

Answer 1

Answer:

$\frac{\ 12}{\text{1 hour}}=\frac{\ x}{\text{7.5 hour}}$

$x=\ 90$

Step-by-step explanation:

We have been given that Rosa earns $12 per hour. We can represent this information as:

$\frac{\ 12}{\text{1 hour}}$

We are also told that in 7.5 hours, she will earn x dollars. We can represent this information as:

$\frac{x}{\text{7.5 hour}}$

Since proportion states that two quantities are equal, so we can set a proportion for our given quantities as:

$\frac{\ 12}{\text{1 hour}}=\frac{x}{\text{7.5 hour}}$

Therefore, the proportion $\frac{\ 12}{\text{1 hour}}=\frac{\ x}{\text{7.5 hour}}$ can be used to solve the problem.

Let us solve for x.

$\frac{\ 12}{\text{1 hour}}*\text{7.5 hour}=\frac{x}{\text{7.5 hour}}*\text{7.5 hour}$

$\ 12*7.5=x$

$\ 90=x$

Therefore, the value of x is $90.

Answer 2

$\bf \begin{array}{ccllll} dollars&hours\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 12&1\\ x&7.5 \end{array}\implies \cfrac{12}{x}=\cfrac{1}{7.5}$