Mr. Johnson is also comparing the two mobile phone data plans. Talk First charges $20 plus $5 per GB of data, while Mobile Plus charges $30 plus $3 per GB of data. At what amount of GB use will the cost of the two data plans be the same? Mr. Johnson wrote this equation for the scenario. 1. d = amount of data used (GB)

2. Talk First = Mobile Plus

3. 20d + 5 = 30d + 3

Analyze Mr. Johnson’s work and identify his mistake.
A In step 1, his variable should be c, representing company.
B In step 2, his translated equation should be Talk First + Mobile Plus = Total
Money.
C In step 3, he multiplied the variable by the base monthly cost instead of by the
cost per GB.

2

Step-by-step explanation:

number 2 is incorect

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

. + λrh() e 1 1 2 4 4 4 4 4 3 4 4 4 4 4 + th−1(− s(x)2 dx ω + λrh−1() e 2 1 2 4 4

step-by-step explanation: