Manuel pays a flat rate of $105 for his cell phone. he is also charged $0.12 for every text that he sends. his cell phone bill can be no more than the amount he has budgeted for it each month. which of the following is a possible scenario for the amount manuel has budgeted for his cell phone? manuel sends 40 texts and has budgeted $110 for his cell phone bill. (my answer) manuel sends 60 texts and has budgeted $111 for his cell phone bill. manuel sends 80 texts and has budgeted $113 for his cell phone bill. manuel sends 100 texts and has budgeted $116 for his cell phone bill.

Manuel sends 40 texts and has budgeted $110 for his cell phone bill

Explanation:

We are given that:

The flat rate is $105 and the charge is $0.12 per text.

Assuming Manuel sends x texts, the equation used to calculate the amount he'll pay will be:

y = 0.12x + 105

where y is the amount he pays, x is the number of texts he sent and 105 is the flat rate

Now, let's consider each of the given scenarios:

1- First scenario:

If Manuel sends 40 texts, then he'll pay:

y = 0.12(40) + 105 = $109.8

We are given that Manuel budgeted $110 which is almost equivalent to the amount he'll pay, therefore, this scenario is possible

2- Second scenario:

If Manuel sends 60 texts, then he'll pay:

y = 0.12(60) + 105 = $112.2

We are given that Manuel budgeted $111 which is less than the amount he'll pay, therefore, this scenario is not possible

3- Third scenario:

If Manuel sends 80 texts, then he'll pay:

y = 0.12(80) + 105 = $114.6

We are given that Manuel budgeted $113 which is less than the amount he'll pay, therefore, this scenario is not possible

4- Fourth scenario:

If Manuel sends 100 texts, then he'll pay:

y = 0.12(100) + 105 = $117

We are given that Manuel budgeted $116 which is less than the amount he'll pay, therefore, this scenario is not possible

Based on the above:

The first scenario is the correct one

Hope this helps :)

ok

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.