Kendra works 5 days per week and earns d dollars per day. Which of the

Algebraically

In \(5\) days she makes:

\((\frac{d}{1day}) * (5 days) = 5d\)

\(5\) days = \(1w\), so in \(1w\) she makes \(5d\)

If \(5d\) in \(1w\), then in \(w\) weeks she makes:

\(5d * w = 5dw\)

Answer E

Assign values

Let \(d\) dollars per day = 10
Let \(w\) weeks = 2
She works 5 days per week

What is the amount she earns in \(w\) weeks?

Each day she makes $10
In 5 days she earns (5 * $10) = $50
5 days is one work week
She earns $50 in one work week

In (2 weeks) * ($50/week) she makes $100

days per week = \(5, d = $10, w = 2\)

With those values, we need the answer that = 100 dollars

Eliminate Answers B and D. \(w\) is 2. The numerators are tiny; those fractions are much less than $100

(A) dw/5: ($10)(2)/5 = $4. NOT A MATCH

(C) 5d/w: (5)($10)/2 = $25. NOT A MATCH

(E) 5dw: (5)($10)(2) = $100. MATCH

Answer E