Final answer:
To represent the situation, we can write the equation 5N + 10D = 595 and graph the possible combinations of nickels and dimes. Three examples of combinations that satisfy the equation are (45 nickels, 55 dimes), (70 nickels, 25 dimes), and (95 nickels, 0 dimes).
Step-by-step explanation:
To write an equation that represents this situation, let's assign variables to represent the number of nickels and dimes you have. Let's say 'N' represents the number of nickels and 'D' represents the number of dimes. We know that 1 nickel is worth 5 cents and 1 dime is worth 10 cents, so we can express the total value of the coins in cents using the equation:
5N + 10D = 595
This equation represents the total value of nickels and dimes adding up to 595 cents. To graph this equation, we can plot the possible combinations of nickels and dimes on a coordinate plane. Let's assume a reasonable range for N and D, such as 0 to 100, and plot the points (N, D) that satisfy the equation 5N + 10D = 595.
Three possible combinations of nickels and dimes that satisfy the equation are:
- (45 nickels, 55 dimes) - 45*5 + 55*10 = 595 cents
- (70 nickels, 25 dimes) - 70*5 + 25*10 = 595 cents
- (95 nickels, 0 dimes) - 95*5 + 0*10 = 595 cents