Systems of Equations
-5y + 8x = -18
5y + 2x = 58
(4, 10)
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Is the following growth or decay:
The population of an ant colony increases at a rate of 44% per week.
Growth
a2 + 14a - 51 = 0
{3, -17}
Does this represent a Linear, Exponential, or Quadratic equation?
y = 5x2 - 4x + 2
Quadratic
3x−4y=8
18x−5y=10
(0, -2)
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
Is the following growth or decay:
f(x)=100(0.5)x
Decay
x2 − 12x + 11 = 0
{11, 1}
What type of function that has a constant slope?
Linear
3y - 5x +10= -16
-2y - 5x +16= 0
(4, -2)
(x - 8)(2x + 3)
2x2 - 13x - 24
Amara invests $1,200, which goes up at a rate of 1.2 every year.
Write an exponential equation representing the situation.
f(x)=1,200(1.2)x
n2 = 18n + 40
{20, −2}
Sketch the basic shapes of 3 functions: a linear function, an exponential function, and a quadratic function
/ ◟ U
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Child Ticket: $14
Senior Ticket: $8
(2y2-3y+6)(3y)
6y3-9y2+18y
Mr. Miller decides he wants to grow a beard. His starts measuring when his beard is 2 cm long. Every week, it grows by 5%.
Write an exponential equation representing the situation.
y=2(1.05)x
7r2 + 84 = -49r
-4, -3
Linear, quadratic, or exponential:
It costs 40 dollars to join a gym and an additional $10 per month.
Linear
You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?
Taco: $1.25
Burrito: $2.50
(2x - 3)(x2 -2x + 4)
2x3 - 7x2 + 14x - 12
The fish in Lake Washington were declining at an annual rate at 1.5%. Their current number is estimated at 2500.
Write an exponential equation representing the situation.
y = 2500(.985)x
9n2 + 39n = -36
-4/3, -3
This is the model that best describes the following information. {(-1,-54), (0,-18), (1,-6), (2,-2), (3,-2/3)}
What is exponential?