Question

Rachel can make 8 cakes for a bakery each day. So far, she has orders for more than 32 cakes. How many days will it take her to complete the orders? Write an inequality, then graph your solution.

Answer 1

Answer is 3x > 32, be simplified to x > 4.

Answer 2

We have to find how many days (lets call it this x) to complete more than 32 cake orders.

She can make 8 cakes per day, so we can can express the number of cakes she can make as 8*x.

Then, we can write the inequality as "the number of cakes she makes (8*x) is more than 32":

`8x>32`

We can divide both sides by 8 and get:

`\begin{gathered} (8x)/(8)>(32)/(8) \\ x>4 \end{gathered}`

Then, we know that to complete more than 32 cakes she needs more than 4 days.

We can graph this as:

Answer: the inequality is 8x > 32, that can be simplified to x > 4.