function

Joe opens a bank account that starts with $20 and deposits $10 each week. Bria has a different account that starts with $1000 but withdraws $15 each week. When will Joe and Bria have the same amount of money? Let w be the number of weeks. Deposits mean we add money and withdrawals mean we...

Let f(x) = 3x - 6 and g(x)= -2x + 5. Which of the following is f(x) - g(x)? f(x) - g(x) = 3x - 6 - (-2x + 5) Distribute the negative sign where double negative equals a plus: f(x) - g(x) = 3x - 6 + 2x - 5 Combine like terms: f(x) - g(x) = (3 + 2)x - 6 - 5 f(x) - g(x) = 5x - 11

An airplane is flying at 38,800 feet above sea level. The airplane starts to descend at a rate of 1800 feet per minute. Let m be the number of minutes. Which of the following expressions describe the height of the airplane after any given number of minutes? Let m be the number of minutes. Since...

A person is earning 600 per day to do a certain job. Express the total salary as a function of the number of days that the person works. Set up the salary function S(d) where d is the number of days that the person works: S(d) = Daily Rate * d S(d) = 600d

A plant is 15 cm high and grows 4.5 cm every month. How many months will it take until the plant is 27.5 cm We set up the height function H(m) where m is the number of months since now. We have: H(m) = 4.5m + 15 We want to know when H(m) = 27.5, so we set our H(m) function equal to 27.5: 4.5m...

A new car worth $24,000 is depreciating in value by $3,000 per year , how many years till the cars value will be $9,000 We have a flat rate depreciation each year. Set up the function D(t) where t is the number of years of depreciation: D(t) = 24000 - 3000t The problem asks for the time (t)...

A car drives 3 feet the first second, 9 feet in the next second, and 27 feet in the third second. If the pattern stays the same, how far will the car have traveled after 5 seconds, in feet? Our pattern is found by the distance function D(t), where we have 3 to the power of the time (t) in...

I have $36 dollars and it goes up by 3 every day how much money would I have after 500 days We have a balance function B(d) where d is the number of days passed since we first had $36: B(d) = 3d + 36 The problem asks for B(500): B(500) = 3(500) + 36 B(500) = 1500 + 36 B(500) = 1536

A gym has yoga classes. Each class has 11 students. If there are c classes, write an equation to represent the total number of students s taking yoga. Total students is the number of classes times the number of students in each class: s = 11c

Terry recorded the temperature every hour from 8 AM to 1 PM. The temperature at 8 AM was 19˚. The temperature dropped 4˚ every hour. What was the temperature at 1 PM? Group of answer choices 1 degree Set up our temperature function T(h) where h is the number of hours since 8 AM: T(h) = 19 - 4h...

(2,3)(4,5)(6,7)(8,9) represents a function Domain is the x-values: x = (2, 4, 6, 8) Range is the y-values: y = (3, 5, 7, 9) The function y, or f(x) is: y = x + 1 where x = (2, 4, 6, 8) Test this function for x = 2: y = 2 + 1 y = 3 Test this function for x = 4: y = 4 + 1 y = 5 Test this...

Savannah is a salesperson who sells computers at an electronics store. She makes a base pay of $90 each day and is also paid a commission for each sale she makes. One day, Savannah sold 4 computers and was paid a total of $100. Write an equation for the function P(x), representing Savannah's...

DeAndre is a spelunker (someone who explores caves). One day DeAndre is exploring a cave that has a series of ladders going down into the depths. Every ladder is exactly 10 feet tall, and there is no other way to descend or ascend (the other paths in the cave are flat). DeAndre starts at 186...

A bunny population is doubling every 2 years. There are currently 45 bunnies. How many will there be in 10 years? Find the number of doubling periods: Number of Doubling periods = Time / Doubling period Number of Doubling periods = 10/2 Number of Doubling periods = 5 Create a function to...

Milan plans to watch 2 movies each month. Write an equation to represent the total number of movies n that he will watch in m months. Number of movies equals movies per month times the number of months. So we have: n = 2m

Given w(x) = 3x + 8, find w(2b + 6). Plug the value of 2b + 6 in for x w(2b + 6) = 3(2b + 6) + 8 Multiply through: w(2b + 6) = 6b + 18 + 8 Group like terms: w(2b + 6) = 6b + 26

Does the point (2, 4) satisfy the equation y = 2x? Plug in x = 2 to y = 2x: y = 2(2) y = 4 Yes, the point (2,4) satisfies the equation y = 2x

a collection of 7 pencils, every week 3 more pencils are added How many weeks will it take to have 30 pencils? Set up a function, P(w), where w is the number of weeks, and P(w) is the total amount of pencils after w weeks. We have: P(w) = 3w + 7 We want to know what w is when P(w) = 30 3w + 7...

Researchers in Antarctica discovered a warm sea current under the glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approximately 450 m when it was first discovered. The thickness of the ice shelf is decreasing at an average rate if 0.06 m per day...

for the function, h(x) = bx - 22, b is a constant and h(-5) = -7. Find the value of h(5) h(-5) = -5b - 22 Since we're given h(-5) = -7, we have: -5b - 22 = -7 Typing this equation into our search engine, we get: b = -3 So our h(x) equation is now: h(x) = -3x - 22 The problem asks for h(5)...