Sal'sal's sandwich shop sells wraps and sandwiches as part of its lunch specials. the profit on
every sandwich is $2 and the profit on every wrap is $3. sal made a profit of $1,470 from lunch
specials last month. the equation 2x + 3y = 1,470 represents sal's profits last month, where x is the
number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
suppose sal’s total profit on lunch special for the next month is $1,593. the profit amounts are the same: $2 for each sandwich and $3 for each wrap. in a paragraph of at least three complete sentences, explain how the graph of the functions for the two months are similar and how they are different.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?