Answer:
C
Step-by-step explanation:
The first one (0,7) tells you that when x isn't there, the amount of money is 7.
That means that the y intercept is 7.
When x = 1 the total is 15
Money saved = ax + 7
15 = a*1 + 7 Subtract 7
15-7 = a + 7-7
a = 8
The equation is f(x) = 8x + 7
Answer: y=-3/4x
Step by step explanation:
y-y_0=m(x-x_0)
y+3=-3/4(x-4)
y=-3/4x+3-3
y=-3/4x
m=rise/run
m=-3/4
Answer:
C) Distributive Property
Step-by-step explanation:
You're <em>distributing</em> in the 3 when you multiply it by the 5 and the 2 in the algebraic process:
➦ ➦
3•(5 + 2) = (3 • 5) + (3 • 2)
So, the 3 was <em>distributed</em> between the 5 and 2 when you multiplied.
Hence, this is the distributive property.
Answer:
Step-by-step explanation:
a_1 = 15
a_2 = a_1 - 3
a_2 = 15 - 3
a_2 = 12
a_3 = a_2 - 3
a_3 = 12 - 3
a_3 = 9
a_4 = a_3 - 3
a_4 = 9 - 3
a_4 = 6
a_5 = 3
a_6 = 0 I'm leaving these last two to expand
a_n = a1 - (n - 1)*d
a_n = 15 - (n - 1)*3
a_n = 15 - 3n + 3
a_n = 18 - 3n
Example
a_6 = 18 - 3*6
a_6 = 0
Problem B
t(1) = 108
t(1 + 1) = 1/3 * 108
t(2) = 36
t(3) = 1/3 * t2
t(3) = 1/3 * 36
t(3) = 12
t(4) =1/3 (t(3))
t(4) = 1/3 * 12
t(4) = 4
t(5) = t4 / 3
t(5) = 4 / 3
t(5) = 1.3333333
So the explicit definition is
t(n) = 108 (1/3)^(n - 1) You could simplify this a little bit by realizing that 108 is made of three 3s.
t(n) = 4 * 3^3 * (1/3)^(n - 1)
t(n) = 4 * (1/3) ^ (n - 4)
Example
t(5) = 108 (1/3)^4
t(5) = 108(1/81)
t(5) = 1.3333333
And using the simplified formula, you get.
t(5) = 4 * (1/3)^1
t(5) = 1.333333 which is the same thing as the original result.
