Johanna has a cell phone plan that has a monthly charge plus a per text fee. In October, she sent 45 texts and her bill was $37.25. In November, she sent 118 texts and her bill was $40.90.
(a)
Part A
Determine the y-intercept and write it in coordinate form.
(b)
Part B
If y represents the total charge and x represents the number of texts, write the equation that represents the situation.
y =

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

x/3-10=8

x/3=18

x=48

the answer is 62.8 cubic units

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!