in 1993, 2.00 Million females particpaited in U.S Highschool sports, by 2003, the number increased to 2.86 Mill.
A) Write an equation in slope-intercept form that gives the number of females participaiting in US. highschool sports, ( in Millions) as a function of the years since 1990.
I was thinking that you could use...Y ( Years) ( x) Number of years) = M, ( Millions?)
I think I'm doing this wrong, could someone please explain and help me figure this out.
Also, how many females participated in 1990?
To write an equation in slope-intercept form that gives the number of females participating in US high school sports as a function of the years since 1990, you need to find the slope and the y-intercept.
First, let's define the variables:
- Y represents the number of females participating in US high school sports (in millions)
- X represents the years since 1990
Now, we can find the slope using the given data points (1993: 2.00 million, 2003: 2.86 million):
slope = (change in Y) / (change in X)
= (2.86 million - 2.00 million) / (2003 - 1993)
= 0.86 million / 10
= 0.086 million per year
Next, to find the y-intercept, we can use one of the given data points. Let's use the 1993 data point:
Y = slope * X + y-intercept
2.00 million = 0.086 million/year * 3 years + y-intercept
Simplifying:
2.00 million = 0.258 million + y-intercept
y-intercept = 2.00 million - 0.258 million
y-intercept = 1.742 million
Therefore, the equation in slope-intercept form for the number of females participating in US high school sports as a function of the years since 1990 is:
Y = 0.086X + 1.742
To find the number of females who participated in 1990, substitute X = 0 into the equation:
Y = 0.086 * 0 + 1.742
Y = 1.742 million
So, approximately 1.742 million females participated in US high school sports in 1990.