Your cell phone provider charges a monthly fee of $30. You are also charged $0.07 per minute for each minute. Last month, Mr. Gonzales' bill was $59.40. Let m represent the total number
of minutes Mr. Gonzales used last month. Use the verbal model below to write an equation.

0.07m + 30 = 59.40

Mr Gonzalez used 420 minutes last month

Step-by-step explanation:

To represent how much money Mr. Gonzales was charged for using minutes, use the term 0.07m.

Then, add 30 to this to represent the monthly fee:

0.07m + 30

Lastly, set this equal to 59.40 because that was his total bill for the month:

0.07m + 30 = 59.40

So, the equation for the situation is 0.07m + 30 = 59.40

Solve for m in the equation:

0.07m + 30 = 59.40

0.07m = 29.40

m = 420

So, Mr Gonzalez used 420 minutes last month.

u(x) is the only quadratic function.

Step-by-step explanation:

We are given four algebraic functions in x and we have to find which one is a quadratic function.

Let us arrange those polynomials in descending powers of x.

i)

The highest degree is 2.  Hence this is quadratic function.

ii)

The highest degree is 3 and hence this is cubic

iii)

The highest degree is 5 and hence this cannot be quadratic

iv)

The highest degree is 3 and hence this is cubic

Hence u(x) is the only quadratic function.