Question

Write the equivalent rate.

$\frac{\$43}{\text{1day}}=\frac{?\text{dollars}}{1\text{week}}$

Short answer

The equivalent rate of $\frac{\$43}{\text{1day}}$ is $301 per week.

Step-by-step solution

. Given

The given rate is$\frac{\$43}{\text{1day}}$ .

. To determine

We have to determine the equivalent rate in dollars per week.

. Calculation 

In order to find an equivalent rate, we will convert from dollars per day to dollars per week.

For that, we multiply the rate by a conversion factor.

We know that 7 days = 1 weeks, it means $\frac{\text{7days}}{\text{1week}}=1$.

$\begin{array}{l}\frac{\$43}{\text{1day}}\\ \Rightarrow \frac{\$43}{\text{1day}}\times \frac{\text{7days}}{\text{1week}}\left[\text{Multiplyratebycommonconversionfactor}\right]\\ \Rightarrow \frac{\$43}{\text{1}\cancel{\text{day}}}\times \frac{\text{7}\cancel{\text{days}}}{\text{1week}}\left[\text{Divideoutcommonfactorandunit}\right]\\ \Rightarrow \frac{\text{\$301}}{1\text{week}}\left[\text{Simplify}\right]\end{array}$

So, the equivalent rate of $\frac{\$43}{\text{1day}}$ is $301 per week.