function

output is 3 times the input x Let output be y. We have: y = 3x

if the input is 3 and the output is 13 We write this as: f(3) = 13

If Bill's salary is $25 and he gets a 20¢ commission on every newspaper he sells, how many must he sell to make $47 Set up bills Earnings function E(n) where n is the number of newspapers he sells: E(n) =. Cost per newspaper * number of newspapers sold + base salary E(n) = 0.2n + 25 We're...

Rafael is a software salesman. His base salary is $1900 , and he makes an additional $40 for every copy of Math is Fun he sells. Let p represent his total pay (in dollars), and let c represent the number of copies of Math is Fun he sells. Write an equation relating to . Then use this equation to...

If H = {(1,-4), (2,-3), (3,-2), (4,-1),...), What is H(9)? It looks like each x-coordinate goes up by 1 and each y-coordinate decreases by 1. Their difference is 5. So we have: H(9) = (9, 4)

f of X equals three to the x f(x) = 3^x

Given the function f(x)=3x−9, what is the value of x when f(x)=9 Plug in our numbers and we get: 3x - 9 = 9 To solve this equation for x, we type it in our search engine and we get: x = 6

Carly has already written 35 of a novel. She plans to write 12 additional pages per month until she is finished. Write and solve a linear equation to find the total number of pages written at 5 months. Let m be the number of months. We have the pages written function P(m) as: P(m) = 12m + 35...

the output is double the input Double means multiply by 2. So this means a function with input of x and output of y such that: y = 2x

Dr. Carlson is contemplating the impact of an antibiotic on a particular patient. The patient will take 229 milligrams, and every hour his body will break down 20% of it. How much will be left after 9 hours? Set up the antibiotic remaining function A(h) where h is the number of hours after the...

Is (3,10) a solution to the equation y=4x Plug in the numbers to check: 10 ? 4(3) 10 <> 12 No, this is not a solution

The enrollment at High School R has been increasing by 20 students per year. High School R currently has 200 students. High School T has 400 students and is decreasing 30 students per year. When will the two school have the same enrollment of students? Set up the Enrollment function E(y) where...

James has a weekly allowance of 5 plus 1.50 for each chore c he does We build the allowance function A(c) where c is each chore A(c) = cost per chore * c + Weekly Allowance Plugging in our numbers, we get: A(c) = 1.50c + 5

A baker determined the annual profit in dollars from selling pies using p(n ) = 52n - 0.05n^2, where n is the number of pies sold. What is the annual profit if the baker sells 700 pies? p(700) = 52(700) - 0.05(700)^2 p(700) = 36400 - 0.05 * 490000 p(700) = 36400 - 24500 p(700) = 11900

A pot of soup, currently 66°C above room temperature, is left out to cool. If that temperature difference decreases by 10% per minute, then what will the difference be in 17 minutes? We set up the temperature function T(m), where m is the number of minutes of cooling. With 10% = 0.1, we have...

Carilah asimtot-asimtot tegak dan datar dari grafik f(x) = 2x/(x - 1) Asimptot dijumpai apabila penyebut sama dengan 0. x - 1 = 0, jadi x = 1

a writer can write a novel at a rate of 3 pages per 5 hour work. if he wants to finish the novel in x number of pages, determine a function model that will represent the accumulated writing hours to finish his novel if 3 pages = 5 hours, then we divide each side by 3 to get: 1 page = 5/3 hours...

As a salesperson you will earn $600 per month plus a commission of 20% of sales. Find the minimum amount of sales you need to make in order to receive a total income of at least $1500 per month. Let the amount of sales be s. The phrase at least means greater than or equal to. Since 20% is 0.2...

x=4, f(x)=x^4-64 Evaluate f(4): f(4) = 4^4 - 64 f(4) = 256 - 64 f(4) = 192

a student has $50 in saving and earns $40 per week. How long would it take them to save $450 Set up the savings function S(w), where w is the number of weeks. The balance, S(w) is: S(w) = Savings Per week * w + Initial Savings S(w) = 40w + 50 The problems asks for how many weeks for S(w) =...