Sara owns a paint shop that makes custom paints. To make one gallon of a specialty color, she needs 4 royal blue units that each cost $b. She also needs 9 yellow units that each cost $y. A customer orders 4 gallons of this paint. Sara uses the expression 4(4b + 9y) to find the total cost for the color units needed to make each gallon of paint.
Explain how to write an expression that is equivalent to the total cost expression. Then determine the total cost for the color units needed to make the paint if each royal blue color unit costs $0.30 and each yellow unit costs $0.10.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204