What is the equation of the line in slope intercept form with a slope of -2.5 and a y-intercept of 3.5?
y = -2.5x + 3.5
100
What is point slope form?
What is y - y1 = m (x - x1)?
100
What is standard form?
ax + by = c
100
Write a line that is parallel to (-1,-2), y = -3x + 5
y = -3x - 5
100
Find the inverse of each relation.
{(-3,2), (-1,8), (1,14), (3,20)}
What is {(2,-3), (8,-1), (14,1), (20,3)}?
200
A construction crew needs to rent a trench digger for up to a week. An equipment rental company charges $40 per day plus a $20 non refundable insurance cost to rent the trench digger. Write and equation to find the total cost to rent the trench digger for d days.
y = 40d + 20
200
Write an equation in point slope form for the given point and slope of (2,1), m = 4
y - 1 = 4(x-2)
200
Convert the equation to standard form.
y + 4 = 1.5 ( x + 2)
3x - 2 y = 2
200
Write a line that is parallel to (-4,3) , y = 1/2x - 6
y = 1/2x + 5
200
Write the inverse function of f(x) = 4x - 3
What is f -1 (x) = 1/4x + 3/4?
300
What is the equation of the line that passes through (-1,6) and (7, -10)?
y = -2x + 4
300
Write the equation in slope intercept form.
y - (2/3) = - 2 ( x - (1/4) )
y = -2x + (7/6)
300
Write the equation in standard form:
y + 7 = 2 (x + 5)
2 x - y = -3
300
What can you say about the slopes of parallel and perpendicular lines?
Parallel lines has the same slope. Perpendicular lines have opposite inverse slopes.
300
Jimmy rents a chain saw from the department store to work on his yard. The total cost c(x) in dollars is given by c(x) = 9.99 + 3.00x, where x is the number of days he rents the chain saw. Write the inverse function.
What is c-1(x) = 1/3x - 6.66
400
What is the equation of a line that passes through (-5,4) and has a slope of 0?
y=4
400
Harvey rides his bike at an average speed of 12 miles per hour. In other words, he rides 12 miles in one hour, 24 miles in 2 hours, and so on. Let h be the number of hours he rides and d be the distance traveled. Write an equation for the relationship between distance and time in point slope form.
d - 12 = 12 (h - 1)
400
Change the equation to standard form.
y = x + 1
x - y = -1
400
Write an equation for a line that is perpendicular to (-2,-2), y = -1/3x + 9.
y = 3x + 4
400
Use the inverse function from Jimmy's chainsaw problem to find out how many days Jimmy rented the chainsaw if the total cost was $27.99.
Hint: Jimmy rents a chain saw from the department store to work on his yard. The total cost c(x) in dollars is given by c(x) = 9.99 + 3.00x, where x is the number of days he rents the chain saw. Write the inverse function.
What is 6 days?
500
Mr. Kimball receives a $3000 annual salary increase on the anniversary of his hiring if he receives a satisfactory performance review. His starting salary was $41,250. Write an equation to show k, his salary after t years at this company if his performance reviews are always satisfactory.
k = 3000t + 41,250
500
The perimeter of a square varies directly with its side length. The point slope form of the equation for this function is
y - 4 = 4(x - 1). Write this equation in standard form.
4x - y = 0
500
Change the equation to standard form.
y + 4 = -2/5( x - 1)
2x + 5y = -18
500
Write an equation that is perpendicular to (10,5), 5x + y = 8
y = 4/5x - 3
500
Chrissy spent $5.00 on supplies and lemonade powder for her lemonade stand. She charges $.50 per glass.
Part I: Write the function p(x) to represent her profit per glass sold.
Part II: Use the inverse linear function to find out how many glasses Chrissy sold to make a $3 profit.