Proportional or Not?
Does a proportional graph always pass through (0, 0)?
Yes
If x = 2 and y = 10, find k.
k = 5
The constant of proportionality is 6. Write the equation.
y = 6x
A proportional line passes through (0, 0) and (2, 8). Find k.
k = 4
A pool fills at 10 gallons per minute. How many gallons in 3 minutes?
30 gallons
Is y = 5x proportional?
Yes
If x = 4 and y = 12, find k.
k = 3
A worker earns $8 per hour. Write an equation for total earnings y after x hours.
y = 8x
A line crosses the x-axis at 2 and y-axis at 4. What is its initial value?
4
A student earns $9 per hour. How much in 4 hours?
$36
Is y = 3x + 4 proportional?
No
A car travels 120 miles in 2 hours. Find the unit rate with correct unit labels
60 miles per hour.
A car travels 30 miles in 3 hours. Write the equation for distance y after x hours.
y = 10x
A table has x: 0, 1, 2 and y: 6, 9, 12. What is the initial value?
6
A pizza costs $7 plus $2 per topping. What is the initial value?
$7
A table has x: 1, 2, 3 and y: 4, 8, 12. Proportional? Half points for invalid explanation
yes bc k=4
If x increases by 3 and y increases by 18, find the rate of change.
6
A movie ticket costs $12 plus a one-time $3 fee. Write the total cost equation.
y = 12x + 3
A line passes through (0, 2) and (1, 10). Find the rate of change.
8
A bank account starts with $50 and increases by $10 each week. How much after 3 weeks?
A gym charges $10 to join plus $5 each month. Proportional or Not? Half points for invalid explanation
No bc there is an initial value
A table has x: 2, 4, 6 and y: 7, 14, 21. Find k.
k = 3.5 or equivalent
A table shows x: 0, 1, 2, 3 and y: 7, 11, 15, 19. Write the equation.
y = 4x + 7
A line passes through (0, 5) and (2, 11). Find the rate of change.
3
A gym charges $20 to join and $8 per class. Write an equation and find the cost of 5 classes.
Half points for equation/Half points for cost
y = 8x + 20
$60