Modeling with Linear Functions
Find the slope of the line passes through the two given points: (1, 1) and (4, 10)
Slope = 3
Is (2, -3) a solution to the following system of equations?
-5x-4y=2
-x-y=-1
Not a solution
1000 tickets were sold for a game for a total of $1250. If adult tickets sold for $1.50 and children's tickets sold for $1.00. How many of each kind of the tickets were sold?
500 adult tickets and 500 children tickets were sold.
Find a linear equation passes through (1, 4) and (4, 13)
y = 3x+1
Solve the system by substitution
-x+y=-5
2x-5y=1
(8, 3)
Juan has $8.10 in nickels and dimes in his pocket. The number of dimes is nine less than twice the number of nickels. How many of each does he have?
He had 36 nickels and 63 dimes.
At noon, a barista notices that she has $15 in her tip jar. If she makes an average of $0.75 from each customer, how much will she have in her tip jar if she serves n more customers during her shift? Write your function as T(n).
T(n)=0.75n+15
Solve the system by addition
3x+5y=-11
x-2y=11
(3, -4)
Carson mixes nuts worth $9.00 per pound with chocolate chips worth $2.00 per pound to get 20 pounds of trail mix worth $7.60 per pound. How many pounds of nuts and how many pounds of chocolate chips did he use?
He used 16 pounds of nuts and 4 pounds of chocolate chips.