Direct Variation
Slope
Rate of Change
Functions
100
The value of y varies directly with x. If y is 31.5 when x is 9, what is the constant of variation?
What is k=3.5 ?
100
The slope in this equation f(x)= - 2 -1/3x
What is -1/3 ?
100
The rate of change of the table
What is 8/1 ?
100
f(x)=2x-9
f(-4)
What is f(-4)=-17?
200
if y is directly proportional to x and y is -15 when x is 3, find the value of y when x is 20.
What is y=-100 ?
200
The slope of the graph containing the points (5, 7) and (3, 6)
What is 1/2?
200
The rate of change of the table
What is 3.8/1 ?
200
f(x) = x^2+3x-5
f(-2)
What is
f(-2) = -7 ?
300
The value of y is directly proportional to the value of x. if y is -1 when x is 6, what is the value of x when y=2/3 ?
What is x=-4 ?
300
The slope of the graph containing the points (-2, -5) and (8, -1)
What is 2/5
300
A company pays out monthly commission payments based on the number of new contracts employees secure each month. The table shows the linear relationship below.
The interpretation of the rate of change of the table (in a complete sentence)
What is "each employee receives an additional $118 in their commission payment for each new contract" ?
300
h(t)=1/2(14-t)^2-9
h(-12)
What is h(-12)=329 ?
400
A packaging specialist at a fulfillment warehouse is in charge of assembling cardboard boxes. The packaging specialist can assemble 300 boxes in 2 hours. The number of boxes the worker can assemble is directly proportional to the number of hours worked. If the worker must assemble 900 boxes to reach the daily goal, how many hours does the worker need to work to meet that goal?
What is 6 hours?
400
This is the slope in this standard form equation 4x+y=7
What is -4?
400
The interpretation of the rate of change of the graph (in a complete sentence)
What is "the savings account balance is increasing by $50 each month" ?
400
4x-2y=22
f(-7)
What is
f(-7)=-25
500
The total distance traveled along the cable by a ski lift car each day varies directly with the number of hours the ski lift is in operation. If a ski lift travels 63,000 meters in 25,200 seconds during an average 7-hour day, how many meters does the ski lift travel on a shortened 5-hour day?
What is 45,000 meters?
500
The slope in this standard form equation: -6x-12y = 9
What is -1/2?
500
The interpretation of the rate of change of the graph (in a complete sentence)
What is "the balance of the piggy bank decreases by $8 per movie ticket purchased"?
500
This is the DOMAIN of the function
What is {-4, -2, 0, 2, 4}?