Suppose that an electricity bill functions similarly to the summer rates in M.2 but we don’t know the amounts charged per kWh and the monthly fee. Nate’s bill for 1209 kWh in June was $125.67, and it was $138.92 in July for 1584 kWh. Determine the slope in this situation, including units. Write a linear equation for the bill. Clearly define your variables. What was the amount charged in cents per kWh? (Round to the thousandths of a penny.)

In 1960, there were 242,900 immigrants admitted to a country. In 2005, the number was 1,011,507. a. Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900. b. Use your result in part a to predict the number of immigrants admitted to the country in 2013. c. Considering the value of the y-intercept in your answer to part a, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century. a. A linear equation for the number of immigrants is y=. (Type your answer in slope-intercept form. Type an expression using t as the variable. Use integers or decimals for any numbers in the equation. Type an integer or decimal rounded to two decimal places as needed.)

A house cost $200,000. Five years later, that same house sold for $250,000. If there was linear growth, the slope of this line would (numerically) be 10,000. Explain what this means. Which of these shows the equation of this line. Use y for the value of the house and x for the number of years. y = -10,000x + 200,000 y = 250,000x - 10,000 y = 10,000x + 200,000 O y = 200,000x - 10,000 y = 200,000x + 10,000 O y = 250,000x + 10,000 y = 10,000x + 250,000 O y = -10,000x + 250,000

Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.