Question
The graph shows the relationship of the number of gallons being drained from an aquarium over time .What function models the relationship?
Hint:
Take any two points from the graph and form the equation
The correct answer is: 10x + y = 90
SOL – Time taken = x min
Water level = y gallons
In the graph, when x = 0 , y = 90 and x = 9 , y = 0
Slope = 
= 
= - 10
In the graph, y – intercept, c = 90
Using slope intercept form, equation of the line is
y = mx + c
y = - 10x + 90
10x + y = 90
Related Questions to study
The start point of a pencil lies at 2 cm and the end point lies at 7.2 cm. What is the length of the pencil?
The start point of a pencil lies at 2 cm and the end point lies at 7.2 cm. What is the length of the pencil?
What is the equation of a line that passes through (0.5 , 4.25 ) and (2, 18.5) and has a y intercept of - 0.5
What is the equation of a line that passes through (0.5 , 4.25 ) and (2, 18.5) and has a y intercept of - 0.5
Solve the system of equations by elimination :
2X + 5Y = - 20
3X - 2Y = - 11
Solve the system of equations by elimination :
2X + 5Y = - 20
3X - 2Y = - 11
Use Substitution to solve each system of equations :
Y = 3X - 8
Y = 13 - 4X
Use Substitution to solve each system of equations :
Y = 3X - 8
Y = 13 - 4X
Some eighth graders are making muffins for a fund raiser. They have already made 200 muffins and figure they can make 40 muffins in an hour.
a) Write a linear function in the form Y= mx + b that represents the total no. of muffins the students will make, y, and the number of additional hours spent making the muffins ,x.
b) How many additional hours would the students spend to make 640 muffins?
Some eighth graders are making muffins for a fund raiser. They have already made 200 muffins and figure they can make 40 muffins in an hour.
a) Write a linear function in the form Y= mx + b that represents the total no. of muffins the students will make, y, and the number of additional hours spent making the muffins ,x.
b) How many additional hours would the students spend to make 640 muffins?
Find the odd one out.
Find the odd one out.
Solve the following by using the method of substitution
2Y - 3X =0
Y = -1.5X-1
Solve the following by using the method of substitution
2Y - 3X =0
Y = -1.5X-1
Solve the system of equations by elimination :
5X + 6Y = - 6
7X - 3Y = - 54
Solve the system of equations by elimination :
5X + 6Y = - 6
7X - 3Y = - 54
An international food festival charges for admission and for each sample of food. Admission and 3 samples cost $ 5.75. Admission and 6 samples cost $ 8.75. Write a linear function that represents the cost ,y , for any number of samples x?
An international food festival charges for admission and for each sample of food. Admission and 3 samples cost $ 5.75. Admission and 6 samples cost $ 8.75. Write a linear function that represents the cost ,y , for any number of samples x?
Use Substitution to solve each system of equations :
Y = 2X - 4
3X - 2Y = 1
Use Substitution to solve each system of equations :
Y = 2X - 4
3X - 2Y = 1
The graph shows the relationship between the number of cubic yards of mulch ordered and the total cost of the mulch delivered. What is the constant rate of change? What does it represent ? What is the initial value ? What might that represent?
The form of a linear equation is y = mx + b in the slope-intercept notation. Variables in the equation are the X and Y. The values m and b represent the line's slope (m) and the value of y when x is 0 and Y is 500. (b). Because the line crosses the y-axis at (0,y), when x is 0, y is referred to as the y-intercept. A two-variable linear equation can be thought of as a linear relationship between y and x or two variables where the value of one (often y) relies on the value of the other (usually x). In this scenario, x is referred to be an independent variable and y as a dependent variable because it depends on the x variable.
Often plotted along the horizontal axis represents the independent variable, x label or not. The majority of linear equations are functions. Alternatively, there is just one value of y for every value of x. You can calculate the value of the dependent variable, y, once the independent variable, x, has been given a value.
The graph shows the relationship between the number of cubic yards of mulch ordered and the total cost of the mulch delivered. What is the constant rate of change? What does it represent ? What is the initial value ? What might that represent?
The form of a linear equation is y = mx + b in the slope-intercept notation. Variables in the equation are the X and Y. The values m and b represent the line's slope (m) and the value of y when x is 0 and Y is 500. (b). Because the line crosses the y-axis at (0,y), when x is 0, y is referred to as the y-intercept. A two-variable linear equation can be thought of as a linear relationship between y and x or two variables where the value of one (often y) relies on the value of the other (usually x). In this scenario, x is referred to be an independent variable and y as a dependent variable because it depends on the x variable.
Often plotted along the horizontal axis represents the independent variable, x label or not. The majority of linear equations are functions. Alternatively, there is just one value of y for every value of x. You can calculate the value of the dependent variable, y, once the independent variable, x, has been given a value.
