Assignment 03 (1.10) (Homework)
Description: Lines
1) (a) The slope of a horizontal line is 0. . The equation of the horizontal line passing through (5, 2) is y=2
(b) The slope of a vertical line is Undefined. The equation of the vertical line passing through (5, 2) is x=5
2. Find an equation for the line whose graph is sketched.
Find an equation for the line whose graph is sketched.
3. Find an equation of the line that satisfies the given conditions. Through (2, 3); slope 4
y=4x-5
4. Find an equation of the line that satisfies the given conditions. x-intercept −10; y-intercept 5
y=0.5x+5
5. Find an equation of the line that satisfies the given conditions.
Through (1, 1); parallel to the line y = 2x – 9
y=2x-1
6. Find an equation of the line that satisfies the given conditions.
Through (−3, 3); perpendicular to the line y = −1/3x+8
Ans: y=3x+12
7. Find an equation of the line that satisfies the given conditions. Through (−2,−10); perpendicular to the line passing through (1, 2) and (5, 0)
y =2x-6
8. Find the x- and y-intercepts of the line.
y = −4x − 18
x-intercept = (x, y) = (-4.5,0)
y-intercept = (x, y) = (0, -18)
9. If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c for a child of age a, pharmacists use the equation c = 0.0417D(a + 1). Suppose the dosage for an adult is 300 mg.
(a) Find the slope. 12.51
(b) What does it represent?
the maximum dosage for an adult
the difference between an adult’s dosage and a newborn’s dosage
the maximum difference between an adult’s dosage and a newborn’s dosage
the increase in dosage for each one-month increase in the child’s age
the increase in dosage for each one-year increase in the child’s age
c.) What is the dosage for a newborn? mg
10. A small-appliance manufacturer finds that if he produces x toaster ovens in a month his production cost is given by the equation
y = 8x + 3000
(where y is measured in dollars).
(a) Sketch a graph of this linear equation.
(b) What does the slope of the graph represent?
the fixed cost of a toaster oven
how much a toaster oven cost last month
how much a toaster oven will cost next month
the cost per toaster oven
the monthly fixed cost
What does the y-intercept of the graph represent?
the fixed cost of a toaster oven
how much a toaster oven cost last month
how much a toaster oven will cost next month
the cost per toaster oven
the monthly fixed cost
12.51
y=2x+4
