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Jabari is power washing houses for a summer job. for every job, he charges an initial fee plus \$30$30dollar sign, 30 for each hour of work. his total fee for a 444-hour job, for instance, is \$170$170dollar sign, 170. jabari's total fee, fff, for a single job is a function of the number, ttt, of hours it takes him to complete the job. write the function's formula.

Sagot :

f(t) = 50 + 30t

Step-by-step explanation:

Let,Jabari total fee = f (in dollars) and the time taken per hour = t

Let, the initial fee charged = x dollars.

It is given that, $30 is charged per hour for his work.

As, the total fee charged for 4 hour job is 170.

We get the equation,

Initial fee + 30 × 4 = 170

i.e. x + 120 = 170

i.e. x= 170 - 120

i.e. x = 50

Thus, the initial fee is $50

So, Jabari's total fee is given by,

f(t) = Initial fee + 30 × Fee per hour

i.e. f(t) = 50 + 30t

Hence, the function formula for the given situation is f(t) = 50 + 30t.

What is Function formula ?

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of y is determined, then y is said to be a function of the independent variable x.

This relationship is commonly symbolized as y = f(x)—which is said “f of x”—and y and x are related such that for every x, there is a unique value of y. That is, f(x) can not have more than one value for the same x. To use the language of set theory, a function relates an element x to an element f(x) in another set. The set of values of x is called the domain of the function, and the set of values of f(x) generated by the values in the domain is called the range of the function.

Learn more about function formula use :

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