Introduction to word problems slope math:
Slope of line is a number that tells about the slant characteristics of a given equation. If the line is perfectly level the slope is at origin that is 0. If, the line gets up, we say it is sloping up or positive slope. Slope is based on the ratio of the "rise" divided by the "run" between two points on a line, and the ratio of the altitude change to the horizontal distance between any two points on the line.
If y is a linear function of x, after that the coefficient term of x is the slope of the line shaped by graphing the function. Therefore, if the equation of the line is known in the form
The slope, y = mx + b
Where m = slope.
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Word problems slope math – Example problems:
Example 1:
The average lifespan of American women has been tracked, and the model for the data is y = 0.2t + 75, where t = 0 corresponds to 1960. Explain the slope and y-intercept.
Solution:
The average lifespan of American women has been tracked, and the model for the data is y = 0.2t + 75,
Where t = 0 corresponds to 1960.
y = mx + b
y = 0.2t + 75
y = 0.2(0) + 75
y = 0 + 75
y = 75
In 1960 (when they started counting), the average lifespan of an American woman was 75 years.
Example 2:
Fisherman in the Finger Lakes Region has been recording the departed fish they encounter while fishing in the region. The number of fish deaths y for a specified pollution index x is y = 8.607x + 121.96. What is the slope and y-intercept?
Solution:
Slope: It is m = 8.607. These values tell that, for each increase by 1 in my input variable x, I get an increase of 8.607 in my output variable y.
It means for every one increase in the pollution index by one unit, there are nine or ten more fish deaths during the year.
y = mx + b
y = 8.607x + 121.96
When x = 0, what is the value of y
y = 8.607(0) + 121.96
y = 0 + 121.96
y = 121.96
Looking at the equation, I see that y = 121.96
The y intercept means that, even if the index were zero, there would still be about 122 fish deaths a year anyway.
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Word problems slope math - Practice problems:
Word problems slope math problem 1:
The average life span of Russian men has been tracked, and the model for the data is y = 5.2t + 85, where t = 0 corresponds to 1980. Explain the slope and y-intercept.
Answer: y = 85 average lifespan of Russian men
Word problems slope math problem 2:
The equation for the speed (not the height) of a ball that is thrown straight up in the air is given by y = 115 – 25t, where v is the velocity (in feet per second) and t is the number of seconds after the ball is thrown. With what initial velocity was the ball thrown? What is the slope and y intercept?
Answer: It was launched upward at 115 feet per second.
Slope of line is a number that tells about the slant characteristics of a given equation. If the line is perfectly level the slope is at origin that is 0. If, the line gets up, we say it is sloping up or positive slope. Slope is based on the ratio of the "rise" divided by the "run" between two points on a line, and the ratio of the altitude change to the horizontal distance between any two points on the line.
If y is a linear function of x, after that the coefficient term of x is the slope of the line shaped by graphing the function. Therefore, if the equation of the line is known in the form
The slope, y = mx + b
Where m = slope.
Having problem with Inverse Function Calculator keep reading my upcoming posts, i will try to help you.
Word problems slope math – Example problems:
Example 1:
The average lifespan of American women has been tracked, and the model for the data is y = 0.2t + 75, where t = 0 corresponds to 1960. Explain the slope and y-intercept.
Solution:
The average lifespan of American women has been tracked, and the model for the data is y = 0.2t + 75,
Where t = 0 corresponds to 1960.
y = mx + b
y = 0.2t + 75
y = 0.2(0) + 75
y = 0 + 75
y = 75
In 1960 (when they started counting), the average lifespan of an American woman was 75 years.
Example 2:
Fisherman in the Finger Lakes Region has been recording the departed fish they encounter while fishing in the region. The number of fish deaths y for a specified pollution index x is y = 8.607x + 121.96. What is the slope and y-intercept?
Solution:
Slope: It is m = 8.607. These values tell that, for each increase by 1 in my input variable x, I get an increase of 8.607 in my output variable y.
It means for every one increase in the pollution index by one unit, there are nine or ten more fish deaths during the year.
y = mx + b
y = 8.607x + 121.96
When x = 0, what is the value of y
y = 8.607(0) + 121.96
y = 0 + 121.96
y = 121.96
Looking at the equation, I see that y = 121.96
The y intercept means that, even if the index were zero, there would still be about 122 fish deaths a year anyway.
Please express your views of this topic how to multiply fractions with unlike denominators by commenting on blog.
Word problems slope math - Practice problems:
Word problems slope math problem 1:
The average life span of Russian men has been tracked, and the model for the data is y = 5.2t + 85, where t = 0 corresponds to 1980. Explain the slope and y-intercept.
Answer: y = 85 average lifespan of Russian men
Word problems slope math problem 2:
The equation for the speed (not the height) of a ball that is thrown straight up in the air is given by y = 115 – 25t, where v is the velocity (in feet per second) and t is the number of seconds after the ball is thrown. With what initial velocity was the ball thrown? What is the slope and y intercept?
Answer: It was launched upward at 115 feet per second.
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