For Exercises 1–20, choose the equation(s) from the column on the right whose graph satisfies the condition described. Give all possible answers. a. y = 5 x b. 2 x + 3 y = 12 c. y = 1 2 x − 5 d. 3 x − 6 y = 10 e. 2 y = − 8 f. y = − 2 x + 4 g. 3 x = 1 h. x + 2 y = 6 Line whose slope is negative.
For Exercises 1–20, choose the equation(s) from the column on the right whose graph satisfies the condition described. Give all possible answers. a. y = 5 x b. 2 x + 3 y = 12 c. y = 1 2 x − 5 d. 3 x − 6 y = 10 e. 2 y = − 8 f. y = − 2 x + 4 g. 3 x = 1 h. x + 2 y = 6 Line whose slope is negative.
Solution Summary: The author explains the equation of lines from the column on right side that describes the constraint: "Line whose slope is negative."
As a result of urbanization, the temperatures in Paris have increased. In 1891 the average daily minimum and maximum temperatures were 5.8°C and 15.1°C, respectively. Between 1891 and 1968, these average temperatures rose 0.019°C/yr and 0.011°C/yr, respectively. Assuming the increases were linear, find the year when the difference between the minimum and maximum temperatures was 9C, and determine the corresponding average maximum temperature.
A linear model that approximates average life-expectancy is y = 0.29t + 65.36, where y is the average life-expectancy and t is the year the person was born and t = 0 is 1950 (t is measured in years). This model has a domain −30≤t≤40−30≤t≤40.
For the model y = 0.29t + 65.36, what is the slope and what does it tell you about the life-expectancy of a child in relation to the year the child was born?
For the model y = 0.29t + 65.36, what is the y-intercept and what does it tell you about the life-expectancy of a child (at birth)?
Using this model, predict the life-expectancy in 2000, 2010, and 2100.
Are the answers to the previous problem reasonable? What cautions would you give when using a mathematical model?
According to the model, when will the life-expectancy of a child be 80, 100, and 0 ?
the slope means that each year life expectance is going up by ------ each year.The yy intercept means that in 1950 life expectance was------ years. The x-intercept means that life…
In industry, the relationship between wages and the quit ratio of employees is defined to be the percentage of employees that quit within 1 year of employment. The quit ratio of a large restaurant chain that paid its employees the minimum hourly wage ($7.25 per hour) was .2 or 20 employees per 100. When the company raised the hourly wage to $8, the quit ratio dropped to .18, or 18 employees per 100. (a) Assuming a linear relationship between the quit ratio Q(x) and the hourly wage x, find an expression for Q(x). (b) What should the hourly wage be for the quit ratio to drop to 10 employees per 100?
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