Answer:
Step-by-step explanation:
1. The y-values in the table are constant, so the slope is 0. It is a horizontal line.
There is no x-intercept.
The y-intercept is (0, 1).
__
For lines in standard form, the intercepts can be found easily. The x-intercept is the value of x when y=0:
ax +0 = c
x = c/a . . . . x-intercept
Similarly, the y-intercept is the value of y when x=0:
0 +by = c
y = c/b
__
3. x-intercept = (-20/2, 0) = (-10, 0)
y-intercept = (0, -20/-5) = (0, 4)
__
4. x-intercept = (-6/1, 0) = (-6, 0)
y-intercept = (0, -6/-3) = (0, 2)
Plot these points and draw a line through them.
The ratio 1:2 means there are twice as many dimes as there are quarters. An expression could be n=2d, n being number of quarters, d being number of dimes.
Answer:
First one: 5x3(0.75)2t
and fourth one: 0.05x500(0.005)t
Step-by-step explanation:
In order to have an exponencial decay, the rate of the exponencial function needs to be lesser than 1.
The rate is the value between parenthesis, so in the first equation, the rate is 0.75, so this is an exponencial decay.
The second equation has rate = 2.4, so this is not an exponencial decay.
The third equation has rate = 1.04, so this is not an exponencial decay.
The fourth equation has rate = 0.005, so this is an exponencial decay.