Use the four-step procedure for solving variation problems to solve: The average number of daily phone calls, C, between two cities varies jointly as the product of their populations, P1 and P2, and inversely as the square of the distance, d, between them. Solve; a. Write an equation that expresses this relationship. b. The distance between San Francisco (population: 777,000) and Los Angeles (population: 3,695,000) is 420 miles. If the average number of daily phone calls between the cities is 326,000, find the value of k to two decimal places and write the equation of variation. c. Memphis (population: 650,000) is 400 miles from New Orleans (population: 490,000). Find the average number of daily phone calls, to the nearest whole number, between these cities.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Use the four-step procedure for solving variation problems to solve: The average number of daily phone calls, C, between two cities varies jointly as the product of their populations, P1 and P2, and inversely as the square of the distance, d, between them. Solve;
a. Write an equation that expresses this relationship.
b. The distance between San Francisco (population: 777,000) and Los Angeles (population: 3,695,000) is 420 miles. If the average number of daily phone calls between the cities is 326,000, find the value of k to two decimal places and write the equation of variation.
c. Memphis (population: 650,000) is 400 miles from New Orleans (population: 490,000). Find the average number of daily phone calls, to the nearest whole number, between these cities.
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