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4 years ago

I don't understand Graphing Linear Equations

Mathematics

2 answers:

Andreyy894 years ago

8 0

Answer:

Khan Academy does a great job explaining in their videos titled Graphing Linear Equations. They also offer pracice with explinations and quizez on it.

Step-by-step explanation:

Nina [5.8K]4 years ago

8 0

Answer: The equation for a line is y = mx + b. B is the y-intercept (where x=0). If your B value is 6, then your y-intercept is (0,6). This is the same with negatives, if you have a negative B value, then the y-intercept is below the x-axis. For example, a B value of -6 would mean that the line crosses the y-axis at (0,-6).

M is your slope. Your slope can be determined by rise/run (how far your line goes up between each point/how far horizontally your line travels between each point). A slope of 2 would mean that the y-values on my line are double the x-values on my line. If a point on the line was (1,2), we could find the slope value by taking 2 and dividing it by 1.

If I had y = 6x+2, my slope would be 6, and my y-intercept would be 2.

Feel free to ask anything is still a little confusing :D

Step-by-step explanation:

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An investment made in the stock market decreased at a rate of 2.2% per year for 10 years. What is the current value of

never [62]

Answer:

$800,500 (nearest dollar)

Step-by-step explanation:

The given scenario can be modeled as an exponential equation.

General form of an exponential function:

$f(x)=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

The initial value (a) is the value of the investment.

Therefore, a = 1,000,000.

If the investment decreases by 2.2% each year, then it will be 97.8% of the previous year.

Therefore, b = 97.8% = 0.978.

Substitute these values into the formula to create a general equation for the scenario:

$f(x)=1000000(0.978)^x$

(where x is the time, in years).

To find the value of the investment after 10 years, substitute x = 10 into the formula:

$\implies f(10)=1000000(0.978)^{10}=800500.1586$

Therefore, the value of the investment after 10 years is $800,500 (nearest dollar).

Learn more about exponential functions here:

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Fantom [35]

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Answer:

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