Brian has $88 in his savings account. If he saves S3.50 per week, how long will it take him to have $200 in his account?

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Answer 1 · 2018-03-11T08:58:44

#32 \text{ Weeks}#
# #

# #
Consider the basic linear function of form:

#f(x)=mx+c#

where, #\ m\ # represents the slope and #\ c\ # represents the y-intercept (where #x=0#).

# #

Let's say, #\ p\ # representst the number of weeks from now, and #\text{Brian}# have #\ $88\ # in his account now.

For the saving account, the amount of money #\ p\ # weeks from now can be represented by the linear function:

#f(p)\ =\ 3.5p+88#

We are given with, #\ f(p)=200#. So put this value in the function and solve the resulting equation for #p#.

#3.5p+88\ =\ 200#

#\Rightarrow\ \ p=32#

# #

That's it!