Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total
of 10 people took the trip. She was able to purchase coach tickets for $360 and first class tickets for $1140. She used her total budget for airfare for the trip, which was $8280. How many first class tickets did she buy?
How many coach tickets did she buy?
I think one of the easiest ways to start this is by dividing her total budget by the price of a first class ticket. ($8280/$1140 =7.26) Now it’s just a matter of finding out whether she could afford all 7 tickets and still have money left over for the other 3 coach tickets. ($1140x7=$7980). If you add the price of one coach ticket, you’re already over budget so try going down by one. ($1140x6=$6840). You’ll need to purchase 4 coach tickets which amount to $1440 ($360x4=$1440). Add them together and you’re right on budget. ($6840+$1440=$8280).
we know the x-intercept of the line is 1, recall that an x-intercept is when the graph intercepts or touches the x-axis, and when that happens, y = 0, so the point is really x = 1, y = 0, namely (1,0). We also know another point on the line, is (-2, 9).