Functions
f(x) = -2x + 3; Find f(0)
F(0)=3
-2x + 6y = -28
-6x - 6y = 12
(2, -4)
8x + 6y = 16
y = 5x + 9
(-1,4)
Alberto and Dan are selling pies for a school fundraiser. Customers can buy cherry pies and pumpkin pies. Alberto sold 6 cherry pies and 9 pumpkin pies for a total of $192. Dan sold 6 cherry pies and 7 pumpkin pies for a total of $160. What is the cost each of one cherry pie and one pumpkin pie?
cherry pie: $8, pumpkin pie: $16
f(x) = -4x + 4; Find f(1)
f(1)=0
-x + 2y = -5
-3x + 2y = -11
(3, -1)
y = -2x - 11
2x + 6y = 14
(-8, 5)
The school that Alberto goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 13 senior citizen tickets and 9 child tickets for a total of $175. The school took in $150 on the second day by selling 13 senior citizen tickets and 4 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
senior citizen ticket: $10, child ticket: $5
f(x) = -x - 3; Find f(-9)
f(-9)=6
6x - 2y = 26
5x - 2y = 25
(1, -10)
y = 5x - 12
-15x + 3y = -36
Infinite Number of Solutions
Gabriella and John each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Gabriella spent $165 on 13 hostas and 1 pot of ivy. John spent $255 on 13 hostas and 11 pots of ivy. Find the cost of one hosta and the cost of one pot of ivy.
hosta: $12, pot of ivy: $9
f(x) = x2 + 2x - 6; Find f(-3)
f(-3)=-3
8x + 3y = -3
16x + 5y = -13
(-3, 7)
y = 5x + 4
y = -2x + 4
(0, 4)
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 11 vans and 10 buses with 372 students. High School B rented and filled 13 vans and 5 buses with 276 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Van: 12, Bus: 24
f(x) = x2 + 4x - 3; Find f(2)
f(2)=9
-10x + 7y = -30
9x - 3y = -6
(-4, -10)
y = 2x - 9
y = -2x + 11
(5, 1)
When you reverse the digits in a certain two-digit number you decrease its value by 36. What is the number if the sum of its digits is 8?
62