Kate earns $300/week which she spends entirely at the grocery store where she buys either food (F) or alcohol (A). Let XF represent the quantity of food Kate purchases, and XA the quantity of alcohol.
Let PF = $1 and PA = $3. Illustrate Kate’s budget constraint (place XF on the horizontal axis).
What is the vertical value of the vertical intercept for your budget constraint?

Describe what moves you could use to create the transformation of the original image shown at right

Evaluate 8j -k+148j−k+14 when j=0.25j=0.25 and k=1k=1.

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution