Question

PSEG Long Island charges its residential customers a little monthly service charge plus an energy charge based on the amount of electric
used. The monthly cost of electricity is approximated by the function:
C = f(h) = 37.60+ 0.10h,
where h represents the number of kilowatt hours (kWh) of electricity used in excess of 250 kWh.

(b) Find f (90) and interpret its meaning.
f(90) =

Answer 1

Using linear function concepts, it is found that:

• a) It costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.
• b) f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

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A linear function has the format given by:

$y = mx + b$

In which:

• m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.
• b is the y-intercept, which is the value of y when x = 0.

The equation for the cost of h kilowatt hours (kWh) of electricity used in excess of 250 kWh is of:

$C = f(h) = 37.6 + 0.1h$

Item a:

• The slope is of $m = 0.1$, which means that it costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.

Item b:

$f(90) = 37.6 + 0.1(90) = 37.6 + 9 = 46.6$

250 + 90 = 340.

f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

A similar problem is given at brainly.com/question/24808124