For this case we have to bake an amount of 702 cookies, which were distributed in boxes of 18 for sale. Selling each box at the same price earned a profit of 136.50 dollars, you want to know the unit cost of each box of cookies.

Let $"x"$ be the number of boxes of cookies:

So, to know the number of boxes we divide 702 cookies among 18:

$x = \frac {702} {18}\\x = 39$

So, we have Tyler sold 39 boxes of cookies

Now, let $"y"$ be the cost of each box of cookies, to know the unit cost or sale price of the cookie boxes, we divided 136.50 dollars among 39 boxes of cookies, then:

$y = \frac {136.50} {39}\\y = 3.5$

Thus, the cost of each box was 3.5 dollars.

Answer:

The cost of a box is 3.5 dollars

5 0

3 years ago

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Write an explicit formula for an arithmetic sequence whose common difference is -4.5

makvit [3.9K]

If the difference is always -4.5, then it is always -4.5 times something, so that it changes -4.5 ever 1 number. This means that our equation is y=-4.5x. From there, we can add any constant, as it will not change the difference. I will leave that up to you to pick, so the equation is y=-4.5x+C, where C is any real number.

Hope this helps!

3 0

3 years ago