Create a linear function that models the following real-world Item 1
financial problem:
Ray puts $6,000 into a savings account. Every month, he
Item 2
Item 3
adds $200 to the account. Write a function f (x) that
models the total amount in dollars he puts into the savings
account after x months.
(1 point)
f (x) = 6, 000x + 200
f (x) = 6, 000x − 200
f (x) = 200x + 6, 000
b
f (x) = 200x − 6, 000
The correct function that models the total amount in dollars Ray puts into the savings account after x months is:
f(x) = 200x + 6,000
The correct linear function that models the total amount in dollars Ray puts into the savings account after x months is:
f(x) = 200x + 6,000
To create a linear function that models the total amount in dollars Ray puts into the savings account after x months, we need to consider two things: the initial amount that Ray puts into the account and the amount he adds each month.
Given that Ray puts $6,000 into the savings account and adds $200 each month, we can express this as follows:
Initial amount = $6,000
Amount added each month = $200
In a linear function, the formula is typically written as y = mx + b, where y represents the dependent variable (total amount in this case), x represents the independent variable (number of months), m represents the slope (amount added each month), and b represents the y-intercept (initial amount).
Using this information, we can write the linear function that models the total amount in dollars Ray puts into the savings account after x months as:
f(x) = 200x + 6,000
Therefore, the correct linear function is:
f(x) = 200x + 6,000