Math Problem Statement
Use the following table comparing motor vehicle deaths (MVD) to answer parts (a) through (d) below. MVD left parenthesis 2021 right parenthesis Start 2 By 1 Matrix 1st Row 1st Column MVD per 2nd Row 1st Column 100 comma 000 people EndMatrix
Start 2 By 1 Matrix 1st Row 1st Column MVD per 2nd Row 1st Column 100 comma 000 MV EndMatrix
Start 3 By 1 Matrix 1st Row 1st Column MVD per 2nd Row 1st Column 100 million 3rd Row 1st Column vehicle miles EndMatrix
Country A 1 comma 698 3.13 5.8 0.50 Country B 2 comma 110 9.79 13.33 1.50 Question content area bottom Part 1 (a) The 1 comma 698 is giving the number of MVD in Country A for their entire population, while the 3.13 is a ratio giving 3.13 MVD : 100,000 people. Put this information into a ratio table to find the total population of Country A in 2021. Solve for the total population. MVD left parenthesis 2021 right parenthesis People 1 comma 698 x 3.13 100,000 xequals 54,249,201 (Round to the nearest integer as needed.) Part 2 (b) Use the same technique to find the population of Country B in 2021, by first filling in the bottom row of the table and then solving for x. MVD left parenthesis 2021 right parenthesis People 2 comma 110 x 9.79 100,000 (Type integers or decimals.) Part 3 Solve for x. xequals select: 21,552,605 21,552,605 (Round to the nearest integer as needed.) Part 4 (c) How many motor vehicles (MV) were there in Country B in 2021? select: 15,828,957 15,828,957 (Round to the nearest integer as needed.) Part 5 (d) Compute the ratio of the number of motor vehicles in Country A in 2021 to the number of motor vehicles in the Country B in 2021 and scale the second quantity to 1. The ratio is enter your response here to 1. (Type an integer or decimal rounded to one decimal place as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Ratios
Proportions
Cross-multiplication
Population Estimation
Formulas
Ratio equation: MVD/Population = Death Rate/100,000 people
Cross-multiplication: MVD × 100,000 = Death Rate × Population
Vehicle estimation: MVD/Number of Vehicles = Death Rate per 100,000 vehicles
Theorems
Proportional Reasoning
Cross-multiplication
Suitable Grade Level
Grades 10-12