Mathematics, 15.07.2020 01:01 Jenifermorales101

A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option.

Answers: 2

Show answers

Answers

Answer from: robertobi1988

y = 250x + 4000

y = 400x + 400

The slope of the second option(financing) is greater than the first option(leasing) meaning that the monthly payments for the financing option are greater than the monthly payments of leasing.

The y-intercept of the first option(leasing) is greater than the y-intercept of the second option(financing) meaning that the initial payment of the first option is greater than the initial payment of the second option.

Step-by-step explanation:

The general slope-intercept form is given by

y = mx + b

First option leasing:

The given equation is

250x - y + 4000 = 0

We need to convert this equation into the slope-intercept form.

y = 250x + 4000

where x represents the number of months of ownership and y represents the total amount paid for the car after ‘x' months.

The slope of the equation is 250 which represents the rate at which the value of y is increasing with respect to x.

When x = 0 then y = 4000 which represents the initial payment.

Second option financing:

We are given two points,

(x_1, y_1) = (0,400)

(x_2, y_2) = (10,4400)

The slope of the equation(m) is given by

$m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{4400 - 400}{10 - 0} \\\\m = \frac{4000}{10} \\\\m = 400$

To find the value of the y-intercept (b), substitute any of the given point into the slope intercept equation

$y = mx + b \\\\y = 400x + b \\\\400 = 400(0) + b \\\\b = 400$

So the equation of the second option is

y = 400x + 400

The slope of the equation is 400 which represents the rate at which the value of y is increasing with respect to x.

When x = 0 then y = 400 which represents the initial payment.

Comparison in terms of slope:

The slope of first option leasing = 250

The slope of second option financing = 400

The slope of the second option(financing) is greater than the first option(leasing) meaning that the monthly payments for the financing option are greater than the monthly payments of leasing.

Comparison in terms of y-intercept:

The y-intercept of first option leasing = 4000

The y-intercept of second option financing = 400

Answer from: Quest

l.jnl.j/n.m,lm,

step-by-step explanation:

Answer from: Quest

answer: the answer is simply nothing.

step-by-step explanation: because there is no ending to this question

gimme brainliest > : 3

Another question on Mathematics

Mathematics, 21.06.2019 14:30

Geometry: determine whether segment mn is parallel to segment kl. justify your answer. jm 6 mk 3 jn 8 nl 4

Answers: 3

Answer

Mathematics, 21.06.2019 15:20

Classify the following triangle check all that apply

Answers: 2

Answer

Mathematics, 21.06.2019 20:30

25) 56(1) = 5b a. identity property of addition b. identity property of multiplication c. commutative property of multiplication d. commutative property of addition

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

Need match the functions with correct transformation. f(x) = -3x f(x) = |x-1|+3 f(x) = √(x+3) 1/2x² f(x) = (x+1)²-3 4|x| 1. compress by a factor of 1/2 2. stretch by a factor of 4 3. shift to the left 3 4. shift to the left 1 5. shift up 3 6. reflection

Answers: 1

Answer

You know the right answer?

A consumer is considering two different purchasing options for the car of their choice. The first op...

Questions

Mathematics, 28.10.2019 23:31

Write the sentence as an equation. let the variable x represent the number. the difference between 29 and a number is 3....

Mathematics, 28.10.2019 23:31

However, in 35 of the 46 super bowls through 2012, the super bowl indicator has correctly predicted the direction of the dow jones industrial average....