Scenarios
You organize a garage sale. You have $30 at the beginning of the sale. You earn an average of $20 per hour. Define your variables
Let x be time in hours
Let y be amount of money in dollars
In a linear equation, the independent variable increases at a constant rate while the dependent variable decreases at a constant rate. The slope of the line is...
a. zero
b. negative
c. positive
d. undefined
B. Negative
Target has a sale going on. Jeans cost $25 and Sweaters cost $30. If you have $100 to spend, what would the equation be?
100=25j+30s
T/F: For a non-proportional line with a positive slope, the x-intercept and y-intercept must have opposite signs.
True.
Which phrase describes the graph of y = -1 on the coordinate plane?
a) a line parallel to the y-axis and 1 unit to the right of it.
b) a line parallel to the y-axis and 1 unit to the left of it.
c) A line parallel to the x-axis and 1 unit below it.
d) A line parallel to the x-axis and 1 unit above it.
c) A line parallel to the x-axis and 1 unit below it.
Write an equation for the scenario:
Yesterday, you typed 8 pages in 48 minutes. Today, you typed 20 pages in 2 hours.
y=6x
(-3,2) & (0,-1)
y= -x + -1
You are making a fruit salad and go to the supermarket to get apples and oranges. Apples cost $4 and Oranges cost $3. You have $20 to spend, and definitely need 4 apples. How many oranges can you buy? Write the equation and a solution.
4a+3o=20 1 orange
False.
Which statement is true about the lines formed by the equations y = x - 3 and x = y - 3?
a. They are identical.
b. They intersect but are not perpendicular.
c. They are parallel.
d. They are perpendicular.
c. They are parallel.
An elevator in a tall building is at a point 180 feet above the ground. The elevator descends at a rate of 12 feet per second. Write an equation in standard form that represents how far above the ground the elevator is after descending for x seconds.
12x+y=180
Through the points (1,1) and (2,-3)
y=-4x+5
Target has dog toys on sale for $10 and dog treats sale for $8. If Mrs. Hawthorne wants to spend $100 on Christmas presents for her puppy, what is the equation? If she needs to buy 4 pairs of jeans, how many tops can she buy?
10y+8t=100 7 tops.
T/F: For a line with a negative slope, the slope is equal to y-intercept/x-intercept
False.
The graph of the equation x + 3y = 6 intersects the y-axis at the point whose coordinates are... (__ , __)
(0,2)
After a laptop is purchased, its value decreases by $150 each year. After 2 years, the laptop is worth $600. Write an equation to represent the scenario.
y=-150x+900
A line with slope of –3 passes through (-8, p) and (2, 3p). Find the value of p
p = -15
Hailey sells jewelry at a craft show. She sells bracelets for $3.50 and necklaces for $5. She needs to sell $50 to make a profit. Write the equation. She already sold 5 bracelets, how many necklaces does she need to sell to make her quota.
3.5b+5n=50 7 bracelets
T/F: For any linear function, the product of the x-intercept and y-intercept will always be positive.
False.
m = 4p + 3
When p is increased by 2, how much does m increase?
8