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Notes Over 5.1. Slope-Intercept Form of an Equation. m is the slope and b is the y -intercept. Write an equation of the line in slope-intercept form. 1. The slope is –2; the y -intercept is 5. 2. The slope is 1; the y -intercept is –4. 3. The slope is 0; the y -intercept is 2.
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Notes Over 5.1 Slope-Intercept Form of an Equation m is the slope and b is the y-intercept Write an equation of the line in slope-intercept form. 1. The slope is –2; the y-intercept is 5. 2. The slope is 1; the y-intercept is –4 . 3. The slope is 0; the y-intercept is 2. 4. The slope is 3; the y-intercept is 6.
Notes Over 5.1 Modeling a Real-Life Situation 50 100 200 300 Miles (n) Total charge (C) 5. A car rental company charges a flat fee of $50 and an additional $.30 per mile to rent an automobile • Write an equation to model the total charge C (in dollars) in terms of n, the number of miles driven. • Complete the table using the equation from part a.
Notes Over 5.1 Modeling a Real-Life Situation 5. A car rental company charges a flat fee of $50 and an additional $.30 per mile to rent an automobile • Write an equation to model the total charge C (in dollars) in terms of n, the number of miles driven. Verbal Model Total Charge Flat Fee Rate per mile Number of miles driven
Notes Over 5.1 Modeling a Real-Life Situation 50 100 200 300 Miles (n) Total charge (C) 5. A car rental company charges a flat fee of $50 and an additional $.30 per mile to rent an automobile
Notes Over 5.1 Modeling a Real-Life Situation 6. In 1996, the enrollment in your school was approximately 1400 students. During the next three years, the enrollment increased by approximately 30 students per year. • Write an equation to model the school’s enrollment E in terms of t, the number of years since 1996. • Use the equation to estimate the school’s enrollment in the year 2002.
Notes Over 5.1 Modeling a Real-Life Situation 6. In 1996, the enrollment in your school was approximately 1400 students. During the next three years, the enrollment increased by approximately 30 students per year. • Write an equation to model the school’s enrollment E in terms of t, the number of years since 1996. Verbal Model School’s Enrollment Current Enrollment Rate of Increase Number of years
Notes Over 5.1 Modeling a Real-Life Situation 6. In 1996, the enrollment in your school was approximately 1400 students. During the next three years, the enrollment increased by approximately 30 students per year. • Write an equation to model the school’s enrollment E in terms of t, the number of years since 1996. • Use the equation to estimate the school’s enrollment in the year 2002.