x = number of packages he bought
y = number of popsicles in each package
Here are the two equations:
xy = 54
x = 3 + y
Using the substitution method, you can solve them to find x and y.
(3 + y)y = 54,
3y + y^2 = 54
y^2 + 3y - 54 = 0
Solve the quadriatic equation:
(y +9)(y - 6) = 0
y = -9, 6.
Plug y into: xy = 54
x(-9) = 54, x = -6.
x(6) = 54, x = 9.
So he bought 9 packages of popsicles, bc you can't bye -6 packages.
Multiplying both sides of an equation by the same number keeps the equation true. In this example, both sides are multiplied by 3, so the equation isn't changed.
It would be 82.54 centimeters tall by the end of August so you would round it up so it would become 83 centimeters meaning that the estimate would be greater than the actual height because you would be rounding up to the nearest whole number not down.
Domain: -∞ ≥ x ≥ ∞
Range: y ≥ 0
This graph shows a function