Jorge used a graph to determine a solution to the following system of equations:

Jorge used a graph to determine a solution to the following system of equations: x + y = 92 and y = 3x – 4 Jorge’s answer is (67, 25). Is he correct? Explain how to check if his solution is correct without using a graph.

Step-by-step explanation:

This was the full question:

Jorge used a graph to determine a solution to the following system of equations:

x + y = 92 and y = 3x – 4

Jorge’s answer is (67, 25). Is he correct? Explain how to check if his solution is correct without using a graph.

The answer is in the answer section and it is the sample response

yes   because as the functions are graphed they eventually will intersect unless otherwise

step-by-step explanation:

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!