Answer:
c. h(x+1)= 4-x
d. h(5-x)= 2+x
Step-by-step explanation:
c. If h(x)=3-x, then x= 3-1
h(x+1)=(3-x)+1
h(x-1)=4-x
d. h(5-x)= 5-(3-x)
h(5-x)= 5-3+x
h(5-x)= 2+x
Answer:
The equation that models the population growth is y = 90,000(1.02)^x
Step-by-step explanation:
The formula of the exponential growth is y = a , where
- b is the factor of growth ⇒ b > 1
Let us solve the question
∵ At x = 0, the population y = 90,000
→ That means the initial value is 90,000
∴ a = 90,000
→ Substitute it in the form of the equation above
∴ y = 90,000
→ To find b use any values from the table to substitute x and y
∵ At x = 1, y = 91,800
∵ 91,800 = 90,000
∴ 91,800 = 90,000 b
→ Divide both sides by 90,000
∵ =
∴ 1.02 = b
→ Substitute it in the equation above
∵ y = 90,000
∴ The equation that models the population growth is y = 90,000(1.02)^x
7 = 3a + 6 should be your answer