Acertain economy's consumption function is given by the equation c(x) = 0.65x + 9 where c(x) is the personal consumption expenditure in billions of dollars, and x is the disposable personal income in billions of dollars. find c(0), c(50), and c(100).

1)

2)

3)

Step-by-step explanation:

Given : A certain economy's consumption function is given by the equation

where, C(x) is the personal consumption expenditure in billions of dollars, and x is the disposable personal income in billions of dollars.

To find :

1) C(0)

Put x=0 in the given equation,

2) C(50)

Put x=50 in the given equation,

3) C(100)

Put x=100 in the given equation,

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation: