Math Help
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Student: Kiare Mays Date: 06/15/20
Instructor: Valery Shemetov Course: MTH154 – Quantitative Reasoning (with MCR4)
Assignment: Section 5.3 Homework
The following situation involves a rate of change that is constant. Write a statement that describes how one variable changes with respect to the other, give the rate of change numerically (with units), and use the rate of change rule to answer any questions.
You run along a path at a constant speed of miles per hour. How far do you travel in hours? in hours?5.6 1.9 3.8
Which statement describes this situation?
A. Time varies with respect to distance traveled with a rate of change of mi/h.5.6 B. Time varies with respect to distance traveled with a rate of change of h/mi.5.6 C. The distance traveled varies with respect to time with a rate of change of mi/h.5.6 D. The distance traveled varies with respect to time with a rate of change of h/mi.5.6
What is the distance traveled after hours?1.9
miles (Type an integer or a decimal.)
What is the distance traveled after hours?3.8
miles (Type an integer or a decimal.)
The following situation can be modeled by a linear function. Write an equation for the linear function and use it to answer the given question.
The price of a particular model car is $ today and rises with time at a constant rate of $ per year. How much will a new car cost in years?
21,000 980 3.3
The equation used to model this situation is , where p is the price of a car in dollars and t is time in years.
The price of a car after years will be $ .3.3
A $ washing machine in a laundromat is depreciated for tax purposes at a rate of per year. Find a function for the depreciated value of the washing machine as it varies with time. When does the depreciated value reach $0?
1260 $90
The equation of the line in slope-intercept form is V .= (Type your answer in slope-intercept form. Type an expression using t as the variable. Do not include the $ symbol in your answer.)
It takes years for the machine to depreciate to $ .0
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Find the slope and the point containing the y-intercept. Then graph the equation.
y x= − 7 − 2
What is the slope? (Type an integer or a fraction.)
What is the point containing the y-intercept? (Type an ordered pair.)
Use the graphing tool to graph the line. Use the slope and y-intercept when drawing the line.
-20 -16 -12 -8 -4 4 8 12 16 20
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-12
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y
Use the slope and the point containing the y-intercept to graph the line.
y x= 3 − 8
What is the slope? (Type an integer or a fraction.)
What is the point containing the y-intercept? (Type an ordered pair.)
Use the graphing tool to graph the line. Use the slope and y-intercept when drawing the line.
-10 -8 -6 -4 -2 2 4 6 8 10
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(1) dependent independent
(2) dependent independent
(3) is not is
A group of climbers begin climbing at an elevation of feet and ascend at a steady rate of vertical feet per hour. This situation can be modeled by a linear function. Identify the independent and dependent variables. Draw a graph of the function, then use the graph to find their elevation after hours. Is a linear model reasonable for this situation?
7500 1500
2
The number of hours is the (1) variable.
The elevation in feet is the (2) variable.
Use the graphing tool to graph the line.
The elevation after hours is feet.2
A linear model (3) reasonable. 0 1 2 3 4 5 6
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10,000
12,000
14,000
16,000
Number of Hours
El ev
at io
n (fe
et )
Find the y-intercept and graph the equation by hand. Use a graphing calculator to verify your answer.
y = 3x − 2
Use the graphing tool to graph the line. Use the y-intercept and another point when drawing the line.
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Find an equation of the line that contains the points listed in the following table.
x y 0 0 1 − 6 2 − 12 3 − 18 4 − 24
The equation of the line is y . = (Use integers or fractions for any numbers in the equation.)
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The graph of an equation is shown to the right. a. Create a table of ordered-pair solutions of this equation. b. Find an equation of the line. [Hint: Recognize a pattern from the table you created in part (a).]
a. x y − 2 − 1
0 1 2
b. What is an equation of this line?
y (Simplify your answer.)=
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Determine the slope and the y-intercept. Use the slope and the y-intercept to graph the equation. Use a graphing calculator to verify your work.
y x= 4 − 2
The slope is m .= (Simplify your answer.)
The y-intercept is . (Type an ordered pair. Simplify your answer.)
Use the graphing tool to graph the equation. Use the slope and y-intercept when drawing the line.
-10 -8 -6 -4 -2 2 4 6 8 10
-10
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y
Let y be the value (in thousands of dollars) of a car when it is x years old. Some pairs of values of x and y are listed in the table. Find an equation that describes the relationship between x and y.
Age (years), x Value (thousands of dollars), y
0 61 1 54 2 47 3 40 4 33
The equation that describes the relationship between x and y is y .= (Do not factor.)
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