Erik makes a sequence of patterns using tiles. He records how many tiles are used for each pattern number.
Pattern number
(p) 1 2 3 4 5
Number of tiles
(t) 1 8 15 22 50
(a) Complete the table. [2]

(b) Erik finds a rule connecting the pattern number and the number of tiles.
Put a ring around the correct rule.
t = p + 7 t = 6p – 1 t = 7p + 1 t = 7p – 6

What is the length of the segment, endpoints of which are intersections of parabolas y=x2? 11 4 x? 7 4 and y=? 7 8 x2+x+ 31 8 ?

What is the slope of the line that contains the points (-5, 6) and (14. - 7)?

Mason and christian go to the movie theater and purchase refreshments for their friends. mason spends a total of $45.75 on 3 bags of popcorn and 6 drinks. christian spends a total of $71.50 on 6 bags of popcorn and 4 drinks. write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. using these equations, determine and state the price of a drink, to the nearest cent.