SOLUTION: Please help me with these problems, thanks. The instruction manual on the industrial oven suggests the oven temperature will increase by 45 degrees Fahrenheit per minute. When t

Question 363735: Please help me with these problems, thanks.
The instruction manual on the industrial oven suggests the oven temperature will increase by 45 degrees Fahrenheit per minute. When the oven is initially turned on, the temperature is 70 degrees Fahrenheit. What will the temperature of the oven be after 7 minutes? Write an expression and explain how you arrived at your answer.
3. In your industrial oven, you bake two baking sheets with 12 scones each, two baking sheets with 20 cookies each, and one baking sheet with 2 scones and 10 cookies.
a. Write an expression that illustrates the total cost of all baked goods in the scenario above using the variable s to represent the cost of scones, and the variable c to represent the cost of cookies. Simplify your expression by combining like terms.
b. Imagine you have decided to price the scones at $2.28 each and the cookies at $1.19 each. How much total revenue would result from selling all the scones and cookies baked in the oven at one time?
c. Yesterday your store earned $797.30 just from the sale of cookies. Write and solve an equation that represents how many cookies were sold.

Answer by amoresroy(361) (Show Source): You can put this solution on YOUR website!
Let t = time
t = 7 mins.
x = increase in temperature (degress Fahrenheit) per minute
x = 45
70 = initial temperature
y = temperature after 7 mins.
------------------------------------------------
y = 70 + (x*t)
y = 70 + (45*7)
y = 70 + 315
y = 385 degrees Fahrenheit
------------------------------------------------
3.
a.)
s = cost of scones
c = cost of cookies
y = total cost
Two baking sheets with 12 scones each = 24s
Two baking sheets with 20 cookies each = 40c
One baking sheet with two scones and 10 cookies = 2s + 10c
y = 24s + 40c + 2s + 10c
y = 26s + 50c
-----------------------------------------------------------
b.)
s = $2.28
c = $1.19
Substitute this values to the equation above.
y = 26*2.28 + 50*1.19
y = 59.28 + 59.50
y = 118.78
The total revenue would be $118.78
-------------------------------------------------
c.)
Let x = number of cookies sold
total revenue = $797.30
cookies cost $1.19 each
we divide $797.30 by $1.19
x = 797.30/1.19
x = 670
670 cookies were sold.
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