a) The rate of change (slope) for this scenario can be calculated by finding the change in y (water level) divided by the change in x (number of days):
Slope = (45 - 10) / (3 - 10) = -35 / -7 = 5
b) The y-intercept for this scenario is the initial water level before the drought began. In this case, the river was 60 feet before the drought began. So, the y-intercept is 60.
c) The equation for the scenario in slope-intercept form is: y = mx + b, where m is the slope and b is the y-intercept.
So, the equation is: y = 5x + 60.
d) The equation in standard form is ax + by = c. Rearranging the equation from part c, we get:
y = 5x + 60
-5x + y = 60
-5x + y - 60 = 0
So, the equation in standard form is: -5x + y - 60 = 0.
13Suppose that the water level of a river is 45 feet after 3 days of no rain and 10 feet after 10 days of no rainThe river was 60 feet before the drought began (points)
a What is the rate of change slopefor this scenario?
bWhat is the y-intercept for this scenario?
cWhite an equation for the scenario in slope-intercept form
d White an equation in standard form
-5x+y=60
5
y=5x+45
y=-5x+60
-5
5x+y=60
y=-5x-35
15
5x+y=35
(0,60)
(0,-5)
(-5,0)
1 answer
3 answers