Based on data from 1990 to 2000, the retail cost of unleaded regular gasoline can be modeled by
R(t) = 0.035t + 1.16 dollars per gallon
and the retail cost of unleaded premium gasoline can be modeled by
P(t) = 0.034t + 1.35 dollars per gallon
where t is the number of years after 1990.†
(a) Solve the system of equations algebraically.
(t, P(t)) =

Explain what your solution means.
Our models predict that
years after 1990 the price per gallon for regular unleaded and premium unleaded will be the same price: $
per gallon.

(b) Based on your experience of purchasing gasoline, does your solution seem reasonable?
Yes
No

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

parallelogram is the   answer