Question

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.

Answer 1

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.

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