Question

1. money monty has a total of $290 in ten dollar and five dollar bills. this can be represented by the function 10x + 5y = 290. interpret the x - and y - intercepts.

Explanation:

Step1: Find the x - intercept

Set \(y = 0\) in the equation \(10x+5y = 290\).
$$10x+5\times0=290$$
$$10x=290$$
$$x = 29$$
The x - intercept is \((29,0)\). This means if Monty has no five - dollar bills (\(y = 0\)), he has \(29\) ten - dollar bills.

Step2: Find the y - intercept

Set \(x = 0\) in the equation \(10x + 5y=290\).
$$10\times0+5y=290$$
$$5y=290$$
$$y = 58$$
The y - intercept is \((0,58)\). This means if Monty has no ten - dollar bills (\(x = 0\)), he has \(58\) five - dollar bills.

Answer:

The x - intercept \((29,0)\) means 29 ten - dollar bills and 0 five - dollar bills. The y - intercept \((0,58)\) means 0 ten - dollar bills and 58 five - dollar bills.