A daycare charges a base fee of $25 per week plus $3/hour for a child. Write an equation that relates the weekly charge C (in dollars) to the number, x, hours, that a child is in daycare

Step 1. Read the problem.

Step 2. Identify what we are looking for.the highest rent Emma will qualify for

Step 3. Name what we are looking for.

Choose a variable to represent that quantity.

Let r= the rent.

Step 4. Translate into an inequality.

First write a sentence that gives the information to find it.

Emma’s monthly income must be at least three times the rent.

Step 5. Solve the inequality.

Remember, a>x has the same meaning as x<a.\begin{array}{ccc}\hfill 5,625& \ge \hfill & 3r\hfill \\ \\ \hfill 1,755& \ge \hfill & r\hfill \\ \hfill r& \le \hfill & 1,755\hfill \end{array}

Step 6. Check the answer in the problem and make sure it makes sense.

A maximum rent of ?1,755 seems reasonable for an income of ?5,625.

Step 7. Answer the question with a complete sentence.

According to the question ,

So as per the question if we assume that the babysitter looked after the child for x hours in a week then , the total charge will be ,

→ Charge = $3/hr * x hr= $3x

So the total cost for a week , will be ,

→ Total cost = Base price + Charge

→ Total cost = $25 + $3x

And in the question we are told to assume total cost to be $C . Therefore ,

→ $C = $ (25 +3x)

→ C = 25 + 3x

Hence the required equation is C = 25 + 3x.

I hope this helps.

2 5/8 is the final answer! : )

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