Due to a membership drive for a public television station, the current ;membership is 125% of what it was a year ago. The current membership is 1200. How many members did the station have last year
Answer:
slope= -3
y-intercept= 6
Step-by-step explanation:
1. Approach
To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.
2.Solve for the slope
The formula to find the slope of a line is;
Where (m) is the variable used to represent the slope.
Use the first two given points, and solve;
(1, 3), (2, 0)
Substitute in,
Simplify;
3. Put equation into slope-intercept form
The equation of a line in slope-intercept form is;
Where (m) is the slope, and (b) is the y-intercept.
Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).
Substitute in point (3, -3)
The rule that has been given means that x coordinate of some point we increase by 8 and y coordinate of some point we increase by 5.
Coordinates of K point on original Figure are:
(-2,-3)
once we implement rule on this we get K':
K' ( -2+8,-3+5)
or
K' ( 6,2)
Answer is third option.
Hint to start out the problem:
eg. For f(4), use the first expression, (x-3)^2 because 4 is greater than 1.