1. The balance in your college payment account,
G, is a function of the number of quarters, x, you attend. Interpret the function G(x) = 15000 – 5000x in words. How many quarters of college can you pay for until this account is empty?
2. If you earn P40,000 per month and you spend P19,000 per month write an equation for the amount of money you save after x months, if you start with nothing.
Answers
Step-by-step explanation:
earn P40,000 per month and you spend P19,000 per month write an equation for the amount of money you save after x months, if you start with nothing.
Step-by-step explanation:
As you hop into a taxicab in Las Vegas, the meter will immediately read $3.30; this is the “drop” charge made when the taximeter is activated. After that initial fee, the taximeter will add $2.40 for each mile the taxi drives.
In this scenario, the total taxi fare depends upon the number of miles ridden in the taxi, and we can ask whether it is possible to model this type of scenario with a function. Using descriptive variables, we choose m for miles and C for Cost in dollars as a function of miles: C(m).
We know for certain that C(0) = 3.30, since the $3.30 drop charge is assessed regardless of how many miles are driven. Since $2.40 is added for each mile driven, then
C(1) = 3.30 + 2.40 = 5.70
If we then drove a second mile, another $2.40 would be added to the cost:
C(2) = 3.30 + 2.40 + 2.40 = 3.30 + 2.40(2) = 10.50
If we drove a third mile, another $2.40 would be added to the cost:
C(3) = 3.30 + 2.40 + 2.40 + 2.40 = 3.30 + 2.40(3) = 10.50
From this we might observe the pattern, and conclude that if
m miles are driven, because we start with a $3.30 drop fee and then for each mile increase we add $2.40.
It is good to verify that the units make sense in this equation. The $3.30 drop charge is measured in dollars; the $2.40 charge is measured in dollars per mile. So