Ahmed is working at the burger joint. his boss pays him $6.50 per hour and promises a raise of $0.25 per hour every 6 months. which sequence describes ahmed's expected hourly wages in dollars, starting with his current wage?

Sequence will be $6.50, $6.75, $7.0, $7.25

Step-by-step explanation:

Ahmed is working at the burger joint and he was paid by his boss $6.50 per hour.

His boss promised him to raise $0.25 per hour every six months.

So we have to find the sequence which describes Ahmed's expected hourly wages starting with his current wage.

As at every 6 months increase in wages is $0.25 so the sequence formed will be an arithmetic sequence with common difference of 0.25 and first term 6.50

Sequence will be $6.50, $6.75, $7.0, $7.25,

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.