Translate to an equation:
h $100 bills and t $20 bills total $400
Graph the equation and use the graph to determine three different combinations of $100 bills and $20 bills that total $400. Submit your graph through the dropbox.
400=20t
400=100h
y=#variable
To translate the given problem into an equation, we need to assign variables to represent the unknown quantities. Let's use "h" to represent the number of $100 bills and "t" to represent the number of $20 bills.
The problem states that the total amount is $400. We know that each $100 bill is worth $100, and each $20 bill is worth $20. Therefore, we can set up the following equation:
100h + 20t = 400
This equation represents the relationship between the number of $100 bills (h) and the number of $20 bills (t) that total $400.
To graph this equation, we'll use a coordinate plane. Plot the number of $100 bills on the x-axis and the number of $20 bills on the y-axis.
To find three different combinations of $100 bills and $20 bills that total $400, we can choose any three points on the graph where the equation is satisfied.
Here are three possible combinations:
1. (2, 18): This means 2 $100 bills and 18 $20 bills. (2 * 100) + (18 * 20) = 200 + 360 = 400.
2. (6, 10): This represents 6 $100 bills and 10 $20 bills. (6 * 100) + (10 * 20) = 600 + 200 = 400.
3. (10, 0): This combination has 10 $100 bills and 0 $20 bills. (10 * 100) + (0 * 20) = 1000 + 0 = 400.
By plotting these points on the graph, you can verify that they lie on the line representing the equation: 100h + 20t = 400.
Remember to submit the graph through the dropbox as requested.