Answer :
The cost for using 24 HCF water is 47.98(in dollars) by using a linear function.
What is meant by linear function?
The term linear function in mathematics refers to two distinct but related concepts.
A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one. The term affine function is frequently used to distinguish such a linear function from the other concept.
A linear function is a linear map in linear algebra, mathematical analysis, and functional analysis.
The monthly cost of water use is a linear function: y=mx +b, where x represents HCF and y represents the cost of using. For example, if the cost of using x=17 HCF of water is $y=36.43, this means
that is a point (17,36.43)
the cost for using x=28 HCF is $y=54.58, means
that is a point (28, 54.58)
By using the above points we find slope m,
m=((54.58-36.43)/28-17)
m=1.65
=>y=1.65x+b
Now, we have to find the b point by using above point,
36.43=1.65*17+b
36.43=28.05+b
34.63-28.05=b
b=8.38
y=1.65x+8.38
When x=24,
y=1.65(24)+8.38
y=47.98
The cost for using 24 HCF of water is 47.98
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