Acell phone plan costs $30 per month for unlimited calling plus $0.15 per text message.

a.) write a linear model that represents the monthly cost of this cell phone plan if the user sends t text messages.

b.) if you send 200 text messages, how much would you pay according to this cell phone plan?

Step-by-step explanation:

a. c=0.15t+30

b. you would pay $60

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

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infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions