Math (Confused)

A certain economy's consumption function is given by the equation
C(x)=0.75x+5

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).

a. C(0)=42.5, C(50)=5, C(100)=80
b. C(0)=42.5, C(50)=80, C(100)=5
c. C(0)=5, C(50)=80, C(100)=80
d. C(0)=5, C(50)=42.5, C(100)=80
e. C(0)=80, C(50)=42.5, C(100)=5

This is so confusing.

1. 👍 0
2. 👎 0
3. 👁 778
1. Not confusing at all, simply replace wherever you see an x with the given value,
C(x) = .75x + 5

C(0) = .75(0) + 5 = 5
that rules out a), b), and e)

C(50) = .75(50) + 5 = 42.5

so far, only c) works
simply check by finding C(100)

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2. 👎 0

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The passage contains a mathematical question and multiple-choice answers. The question asks to find the values of the consumption function C(x) = 0.75x + 5 for x = 0, 50, and 100. The multiple-choice answers provide different sets of values for C(0), C(50), and C(100).
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Math (Confused)

A certain economy's consumption function is given by the equation
C(x)=0.75x+5

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).

a. C(0)=42.5, C(50)=5, C(100)=80
b. C(0)=42.5, C(50)=80, C(100)=5
c. C(0)=5, C(50)=80, C(100)=80
d. C(0)=5, C(50)=42.5, C(100)=80
e. C(0)=80, C(50)=42.5, C(100)=5

This is so confusing.

1. 👍 0
2. 👎 0
3. 👁 778
1. Not confusing at all, simply replace wherever you see an x with the given value,
C(x) = .75x + 5

C(0) = .75(0) + 5 = 5
that rules out a), b), and e)

C(50) = .75(50) + 5 = 42.5

so far, only c) works
simply check by finding C(100)

1. 👍 0
2. 👎 0

Similar Questions

1. Social Studies

Which type of economic system has the highest level of government control? A. traditional economy B. market economy C. command economy D. mixed economy

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Dan has saved \$500. He wants to open a chequing account at Save-A-Lot Trust or Maple Leaf Savings. Save-A-Lot Trust's chequing account is \$10 per month plus \$0.75 per cheque. Maple leaf savings' chequing account is \$7 per month

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Compensation of employees \$194.2 US exports of goods and services 17.8 Consumption of fixed capital (depreciation) 11.8 Government purchases 59.4 Taxes on production and imports 14.4 Gross private domestic investment 63.9 Transfer

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The following is a list of figures for a given year in billions of dollars. Using this data, compute: (a) GDP; (b) NDP; (c) NI; (d) PI; (e) DI; (f) Net exports. Transfer payments \$ 16 Government purchases 80 Personal taxes 38

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Suppose a certain economy's consumption function is as follows, where C(x) and x are measured in billions of dollars. C(x) = 0.76x^1.1 + 18.19 Find the marginal propensity to consume (dC/dx) when x = 7. (Round your answer to three

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1. –9x – 5 = –95 a) 17 b) 11 c) 10 d) –10 2. x/4 – 5 = –8 a) –27 b) –12 c) –7 d) 12 3. x/5 + 6 = 10 a) 44 b) 30 c) 20 d) –20 4. –2(m – 30) = –6m a) –15 b) –13 c) –8 d) 8 5. 3.75x + 3.7 = 1.7 + 1.75x

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user
The passage contains a mathematical question and multiple-choice answers. The question asks to find the values of the consumption function C(x) = 0.75x + 5 for x = 0, 50, and 100. The multiple-choice answers provide different sets of values for C(0), C(50), and C(100).

TYPE: SINGLE_QUESTION_WITH_ANSWER