110 Answered Questions for the topic Linear Functions

#### Equation: M⋅V=P⋅Q.

The quantitative theory of money states that given M dollars in circulation in a year, a monetary velocity of V, a price level of P, and a real output of Q dollars, the above equation is correct....
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12/20/21

#### Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes).

Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When graphed, the function gives a line with a slope of -0.14. There is...
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#### Finding an equation that is parallel to another equation

What is the equation to the line that is parallel to y=-1/2x-3 and passes through the point (5,2)

#### The cost, C of filling a car with fuel is directly proportional to the number, N litres of fuel purchased.

Please help i don't understand a) Write the variation equation relating C, N and the constant of variation, kb) If the cost of 32 litres of fuel is $40 find the value of k.c) Find the cost of...
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04/01/20

#### College Algebra Linear functions Help Please

A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $25 per acre. Seed for crop B costs $50 per acre. The farmer can spend at most $2750 on seed. If crop B brings...
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12/10/19

#### Linear Functions and Equations - TEXT MESSAGE PLANS - Algebra 1

Pedro's friend Chenetta is considering another text messaging plan that advertises the following: "A one-time joining fee of $3.00 and $0.08 per message."Write an explicit formula for the text...
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10/01/19

#### Create a linear function that yields the compensation (y) of a sales executive for a given amount of monthly sales (x).

An account executive receives a base salary plus a commission. On $50,000 in monthly sales, an account executive would receive compensation of $3200. On $60,000 in monthly sales, an account...
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Linear Functions

09/04/19

#### How to translate 2 units to the right

Linear Functions Algebra 2

08/28/19

#### What is the rate of change and y intercept of f(x) =3x - 4

Linear Functions Algebra 1

03/12/19

#### How do I write an equation that models the data when it asks for "m"?

I am doing a question on a website called Big Ideas Math and I'm in Advanced Algebra in 8th grade. It has parts to a question and I have part a and c done. But part b says "Write a function that...
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Linear Functions

02/07/19

#### Write a function rule for the statement: The output is 4 times the input

#### Linear Functions

A sports team is throwing an end-of-season party at the fitness club. The costs associated with the party include a $120 flat fee for the room rental, and a $11.95 per person charge for the Italian...
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12/06/18

#### How do I graph f(x)=-3x+54?

I don’t understand how I am supposed to graph this amount of numbers when my graph only goes so far. Normally y=mx+b is my formula. It is still the same formula technically, but I am just overall...
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Linear Functions

10/07/18

#### Finding linear function

Find the linear function h, given h(1)= -1 and h(-2) = 14. Then find h(3)

10/04/18

#### Idek, just help. Check the description.

In 1930, the record for the 1500-m run was 3.85 minutes. In 1950 it was 3.70 minutes. Fit a linear function to the points. Use the function to predict the record in 2006; in 2021.

08/27/18

#### If the plane is 2200 feet above the ground and the jump lasts 85 seconds, how high above the ground was the skydiver 40 seconds after he jumped?

Calc word problem, solve using linear equation knowledge

07/30/18

#### How to determine whether T is linearly independent ? Justify your answer please.

Let S={X1,X2,X3} be a linearly independent set of vectors in R^3. How to determine whether T={2X1 + X2 - 2X3,4X1+ 3X2,3X1 + 2X2 - X3} is linearly independent. Justify your answer please.

07/27/18

#### Is this True or False ? Justify please

If X1,X2 and X3 are vectors in R3 such that {X1,X2} and {X1,X3} are linearly independent sets, then {X1,X2,X3} is a linearly independent set.

07/27/18

#### I want to solve this, i need help. Justify your answer please.

Consider the linear system:
x - 2y + 3z = 4
2x - 3y + az = 5
3x - 4y + 5z = b
For which values of a and b does the linear system have
a) no solution,
b) a unique solution,
c) infinitely...
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07/27/18

#### Is this True or False ? Justify your answer please.

If A is a 2 x 2 matrix such that AAT (Transpose) = 0, then A = 0.

Linear Functions

07/25/18

#### Linear Functions problem

The population of a city increased from 21,300 to 31,300 between 2003 and 2008. Find the change of population per year if we assume the change was constant from 2003 and 2008.
The population...
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Linear Functions

07/06/18

#### Find the functions formula

For each trip they charge an initial fee in addition to $0.15 for each vertical meter climbed. For instance the price for climbing all the way to the summit, which is 3500 meters above the base of...
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Linear Functions

06/11/18

#### help! (please) i need to understand this for finals! thanks in advance!

a 2 foot tall tree is planted and then grows at a rate of 3 feet per year for 40 years. find a linear function that models the growth of this tree. sketch its graph. interpret its slope and...
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Linear Functions

06/06/18

#### if the x intercepts of the line px +7y + 21 is 12 determine the value of P

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