In Exercises 35–37, use intercepts and a checkpoint tograph each linear function.35. x + 2y = 436. 2х — Зу %3 1237. 4x = 8 – 2y

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Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section4.5: Analyzing Lines Of Fit

Problem 6E

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which is linear and non-linear?
In Exercises 25-30, use the Linear Approximation to estimate the value.Compare with the value given by a calculator.
Data comprises of the number of hours studied (X) and the exam grade (Y) obtained for 6 first year students registered at UWC. The equation of best fit is given by: y = 67.071 + 4.535x. What is the correct interpretation of the equation? A. Every extra hour spent studying will likely result in better exam performance shown by a mark increase of about 67.07%. B. Every extra hour spent studying will likely result in better exam performance shown by a mark increase of about 4.54%. C. A 1 unit increase in y will lead to an increase of 4.535 units in x, D. Every extra hour spent studying will likely result in better exam performance shown by a mark increase of about 67.07+4.54% = 71.61%.
The Organization for Economic Cooperation and Development (OECD) consists of 20 industrialized countries. For these nations, the prediction equation relating y = child poverty rate (in percentage points) to x = social expenditure as a percentage of gross domestic product (GDP) is = 22-1.3x. In 2000, the actual child poverty rate ranged from 2.8% (in Finland) to 21.9% (in the U.S.). Social expenditure as a percentage of GDP ranged from 2% (in the United States) to 16% (in Denmark). Using the linear prediction equation and plugging in the actual x-values (social expenditure rates) provided above, find the predicted child poverty rates for the United States and for Denmark. The x-values for both of these countries are provided above in the description of the study. (Note: You do not need to convert the percentages into proportions before or after plugging them into the equation.) The predicted child poverty rate for the U.S.: The predicted child poverty rate for Denmark:
An economist believes there is a linear relationship between the marketprice of a particular commodity and the number of units suppliers of thecommodity are willing to bring to the marketplace. Two sampleobservations indicate that when the price equals $15 per unit, the weekly supply equals 30,000 units; and when the price equals $20 per unit, theweekly supply equals 48,000 units (i) If price per unit, p, is plotted on the horizontal axis and the quantitysupplied q is plotted on the vertical axis, determine the slope-intercept formof the equation of the line which passes through these two points.(ii) Interpret the slope of the equation in this application.(iii) Predict the weekly supply if the market price equals $25 per unit.
In Exercises 7-10, find a linear equation that has the same solution set as the given equation (possibly with some restrictions on the variables). 2x+y=73y
The Organization for Economic Cooperation and Development (OECD) consists of 20 industrialized countries. For these nations, the prediction equation relating y = child poverty rate (in percentage points) to x = social expenditure as a percentage of gross domestic product (GDP) is = 22-1.3x. In 2000, the actual child poverty rate ranged from 2.8% (in Finland) to 21.9% (in the U.S.). Social expenditure as a percentage of GDP ranged from 2% (in the United States) to 16% (in Denmark). What is the residual for the United States? You can use the information on the actual y-value given in the description of the study as well as information from your response to Question 3 to calculate this. Residual for the U.S. =

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In Exercises 35–37, use intercepts and a checkpoint to graph each linear function. 35. x + 2y = 4 36. 2х — Зу %3 12 37. 4x = 8 – 2y