Question

The restaurant bill you and your friends receive was not itemized. You order two drink refills and the egg breakfast for a total of $8.40. Your friend ordered three refills and the egg breakfast for $9.35.

Write a system of equations for the situation. Use R for the amount of charge for a refill and B for the amount of charge for the egg breakfast.
Graph the equations in the system.
Use your graph to estimate how much each item cost.
a) 2R + B = 8.40, 3R + B = 9.35
b) 2R + 3B = 8.40, R + 3B = 9.35
c) R + B = 8.40, 3R + 3B = 9.35
d) 2R + B = 8.40, R + B = 9.35

Answer 1

The correct system of equations for the restaurant bill scenario is 2R + B = 8.40, 3R + B = 9.35, representing the costs of refills and breakfast.

Step-by-step explanation:

The correct system of equations based on the given scenario is (a) 2R + B = 8.40, 3R + B = 9.35. Here, R represents the cost of one refill and B represents the cost of the egg breakfast.

To graph these equations, you would plot two lines on a graph where the x-axis represents the number of refills and the y-axis represents the total cost. The point where these two lines intersect will give us the values for R and B. However, graphing these equations requires more information than provided in this format. To solve algebraically, use the substitution or elimination methods to find the exact values for R and B.

For visual estimation using a graph, you'd likely need to find the approximate intersection point on a graph you create with these equations.