A linear function m models the amount of milk sold by a farm per month. The amount decreases 500 gallons for every $1 increase in price. Graph m when m(0)=3000. Identify the slope. Interpret the x- and y-intercepts of the graph.
Answers
The linear function that models this situation is:
- The y-intercept is y = 3000, which means that when there is no increase on the price, the farm sells 3000 gallons.
- The x-intercept is x = 6, which means that if the price increases $6, no gallons will be sold.
- The slope is of -500.
- The graph is sketched at the end of this answer.
The equation of a line has the following format:
In which:
- a is the slope, which is by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, m(0) = 3000, thus, , that is:
- The y-intercept is y = 3000, which means that when there is no increase on the price, the farm sells 3000 gallons.
The amount decreases 500 gallons for every $1 increase in price, thus, the slope is -500, and the equation is:
The x-intercept is the value of x for which:
Then
- The x-intercept is x = 6, which means that if the price increases $6, no gallons will be sold.
A similar problem is given at brainly.com/question/24808124
Answer:
Slope of the graph gallons per dollar.
Intercept is 3000.
Step-by-step explanation:
General format of an equation of a linear graph is;
y=mx+c
Where,
y is the dependent variable
m is the slope of the graph
x is the independent variable of the graph
c is the intercept of the graph.
m(0)=3000 means when we substitute 0 for x values of the graph the y value is 3000. Therefore the intercept is 3000.
Slope of the graph =
= gallons per dollar.
So we can write the equation as;
but in this question y is given as m. Therefore function can be re-written as:
The graph is attached with the answer.
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Answer:
15. Hope it helps!
Step-by-step explanation:
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The quotient of 3 and 4 is 0.75.
3/4 = 0.75
--
0.75 x 4 = 3...
So the answer is 3.
Answers
Answer:
0.0189
Step-by-step explanation:
We solve for this using Newton's Law of cooling.
The formula for Newton's Law of cooling =
T −Ts = (To−Ts)e^-kt
T = Temperature after cooling
To = Initial temperature
Ts = Room temperature
k = constant
t = time = 2 mins
(200 - 70) = (205 - 70)e^-2k
130 = 135e^-2t
e^-2k= 130/135
k = In(130/135)/-2
k = 0.018870164
Approximately to 4 decimal places = 0.0189
Therefore, the value of k = 0.0189
Answers
Answer: 120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]
Step-by-step explanation:
=24x(x^2 + 1)4(x^3 + 1)5 + 42x^2(x^2 + 1)5(x^3 + 1)4
Remove the brackets first
=[(24x^3 +24x)(4x^3 + 4)]5 + [(42x^4 +42x^2)(5x^3 + 5)4]
=[(96x^6 + 96x^3 +96x^4 + 96x)5] + [(210x^7 + 210x^4 + 210x^5 + 210x^2)4]
=(480x^6 + 480x^3 + 480x^4 + 480x) + (840x^7 + 840x^4 + 840x^5 + 840x^2)
Then the common:
=[480(x^6 + x^3 + x^4 + x) + 840(x^7 + x^4 + x^5 + x^2)]
=120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]
Answers
Answers
Answer:
45
90
135
180
225
Step-by-step explanation:
It represents a function because each element in the domain is matched with exactly one element in the range.