1. Genesis would like to join a Book Club. She needs to pay $12. 00 for entrance into the book club and $20. 00 per month. Write an equation in function notation for the total cost of the book club



Answer :

The equation in function notation for the total cost of the book club will be y = 20x + 12.

An equation is a claim that demonstrates the equality of two mathematical expressions, according to algebra. For instance, x + 9 = 10 is an equation, in which x + 9 and 10 are two expressions separated by an 'equal' sign.

Considering that Genesis must pay $12 to join the book club.

Per month fee = $20.00

We are aware that a linear function's slope-intercept form is

y = mx + b

where m is the slope and b is the y-intercept

Since the slope is another name for the rate of change.

The rate of $20 would be referred to as the slope = m = 20.

One-time charge is $12.00, hence the y-intercept is equal to b = 12.

Thus, the equation becomes

Y= mx + b

Here y = represents the total cost

x = represents the duration

m = represents the rate of change = 20

b = represents the y-intercept =12

y = 20x + 12

Therefore, an equation in function notation for the total cost of the book club will be y = 20x + 12

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