A bank charges $25/month plus $0.25/transaction for use of an ATM card. What is true about the function for this problem?

a. the y intercept is 25

b. the y intercept is. 25

c. the equation is y = 0.25x + 25

d. the slope is 0.25

e. the slope is 25

Option A, C, D

The equation is y = 25 + 0.25x

The slope is 0.25 and y intercept is 25

Solution:

Given that, bank charges $25/month plus $0.25/transaction for use of an ATM card

Therefore,

Initial charge = $ 25

Let "x" be the number of transactions

Given that the charge is $ 0.25 per transaction

Thus, we frame a equation as:

total charge = Initial charge + 0.25 (number of transactions)

Let "y" be the total charge for month

y = 25 + 0.25x

The equation is y = 25 + 0.25x

Thus option C is correct

The equation of line in slope intercept form is given as:

y = mx + c

Where, "m" is the slope of line and "c" is the y intercept

On comapring y = 25 + 0.25x with y = mx + c, we get

m = 0.25 and c = 25

Thus slope is 0.25 and y intercept is 25

Thus option A and option D are correct