The function f (x) = .85x+3.99 models the total cost of purchasing x key chains from an internet company that charges shipping the function g (x) = 1.10x models the total purchasing of x number of the same key chains from an company that does not charge shipping. Rounding to the nearest whole number what is the best approximation of the number of key chains for which the two companies charge the same amount?

16 key chains

Step-by-step explanation:

Given

---company A

--- company B

Required

Value of x when

We have:

Collect like terms

Solve for x

--- approximated

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step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: