10 point 10.) Jayden is working as a chemical engineer for Exxon/Mobil. He needs
to make 100 gallons of plus gasoline that is 92% octane but he only has
tanks of regular gas which is 90% octane and premium gas that is 95%
octane. Create and solve an equation that tells Jayden how many gallons
from each tank he should use to make hisI100 gallons of plus gasoline.
Show your work and answer how many gallons from each tank he should
use?
Your answer
This is a required question

94

step-by-step explanation:

average the numbers and use a variable to figure out the minimum to get a 90.

(79+94+91+92+x)/5=90

x = 94

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

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