Mathematics, 31.07.2019 19:00 epmeche05

The pool fun company has learned that, by pricing a newly released fun noodle at $3, sales will reach 6000 fun noodles per day during the summer. raising the price to $4 will cause the sales to fall to 5000 fun noodles per day. a. assume the the relationship between sales price, x, and number of fun noodles sold, y, is linear. write an equation in slope-intercept form describing this relationship. use ordered pars of the form (sales price, number sold). the equation is? b. predict the daily sales of fun noodles if the price is $3.50. ? sales ? sales

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PART A:
The generic equation of the line is:
y-yo = m (x-xo)
First we look for the slope of the line:
m = (y2-y1) / (x2-x1)
m = ((5000) - (6000)) / (4-3)
m = -1000
Then, we substitute any point in the generic equation:
(xo, yo) = (4, 5000)
Substituting:
y-5000 = (- 1000) (x-4)
Rewriting:
y = -1000x + 4000 + 5000
y = -1000x + 9000
The equation is:
y = -1000x + 9000

PART B:
For the price of 3.50 we have:
y = -1000 * (3.5) +9000
y = 5500

Answer from: Destinywall

(a) The equation in slope-intercept form for describing the relationship between sales price and quantity of the fun noodle is y=-1000x+9000 .

(b) The daily sales of fun noodles is 5500 when, the sales price is $\$3.50$ .

(a) The general slope-intercept form of writing the equation of a line is y-y_1=m(x-x_1) where, is the slope of the line.

According to the question,

$(x_1,y_1)\rightarrow (3,6000)$ and $(x_2,y_2)\rightarrow (4,5000)$

Evaluate the value of the slope as-

$m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{5000-6000}{4-3}\\m=-1000$

Now, substitute the parameters in the equation y-y_1=m(x-x_1) -

$y-y_1=m(x-x_1)\\y-6000=-1000(x-3)\\y-6000=-1000x+3000\\y=-1000x+9000$

Hence, the equation in slope-intercept form for describing the relationship between sales price and quantity of the fun noodle is y=-1000x+9000 .

(b) Substitute $x=\$3.50$ in the slope-intercept equation y=-1000x+9000 to evaluate the daily sales of fun noodles as-

$y=-1000x+9000\\y=-1000(3.50)+9000\\y=-3500+9000\\y=5500$

Hence, the daily sales of fun noodles is 5500 when, the sales price is $\$3.50$ .

Learn more about slope-intercept form here:

link

Answer from: Quest

hreryryrranswer:

step-by-step explanation:

Answer from: Quest

Answer: b 2 = 1.

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of a, h and b 1 .

therefore, plugging values of a, h and b 1 in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

$\frac{16}{4} =\frac{4( 3 + b 2)}{4}$

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.

therefore, b 2= 1.

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