Write an equation to model the following situation: College tuition at New Manchester University has increased $500 per year for the past six years. Jared is a freshman this year and paid $10,250 for histuition. He is curious about histuition in the coming years and needs this information as motivation to graduate in four years. Assuming the tuition rate increase remains constant, write an equationto represent thistuition, T(x)at New ManchesterUniversity in x years.

hard

step-by-step explanation:

explanation:

remove parenthesis:

=

apply rule

=

multiply fractions:

=

=

divide:

=

mordancy.

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.