The table shows the sales of plain and Asiago cheese bagels at a bakery for h hours. Bagel Sales

Bagel: Cost ($):Number Sold After h Hours:
Asiago Cheese 1.50 12h+7
Plain 1.50 7h−4

After 6 hours, how much more will the bakery have made in sales of Asiago cheese bagels than the sales of plain bagels?

how is that middle school

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places