Between 1990 and 2000, the number of thousand vists by people to hawaii volcanoes national park increased by about 43.1 thousand visits per year. in 2000 there were about 1529.6 thousands visits to the park. Write an equation in slope-intercept form that represents the number of visits ( in thousands) in your collection as a function of the years since 1990, Label variables.
I don't even know how to attempt this without failing.
Please explain.
Thank you.
Thank you.
To write an equation in slope-intercept form, we need to identify the slope and the y-intercept.
Let's break down the information given to us:
1. Between 1990 and 2000, the number of thousand visits increased by about 43.1 thousand visits per year.
This implies that the slope of the equation is 43.1.
2. In 2000, there were about 1529.6 thousand visits to the park.
This gives us the y-intercept, which is the value of y when x (number of years) is 0. Therefore, the y-intercept is 1529.6.
Now, we can write the equation in slope-intercept form, which is y = mx + b, where:
- y is the number of visits (in thousands).
- x is the number of years since 1990.
- m is the slope.
- b is the y-intercept.
Substituting the given values into the equation, we have:
y = 43.1x + 1529.6
Therefore, the equation that represents the number of visits to Hawaii Volcanoes National Park as a function of the years since 1990 is:
Number of visits (in thousands) = 43.1 * (Years since 1990) + 1529.6.
For example, if we want to find the number of visits in the year 1998 (which is 8 years since 1990), we can substitute x = 8 into the equation:
Number of visits (in thousands) = 43.1 * 8 + 1529.6
Number of visits (in thousands) = 344.8 + 1529.6
Number of visits (in thousands) ≈ 1874.4
Therefore, we could estimate that there were approximately 1874.4 thousand visits to the park in 1998.
From 1990 - 2000 = 10 years
43,1 * 10 = 431.
1529,6 - 431 = 1098,6
F(x) = 1098,6 + 43,1x
X = number of years