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.

In step 1, his variable should be c, representing company.
In step 2, his translated equation should be Talk First + Mobile Plus = Total
Money.
In step 3, he multiplied the variable by the base monthly cost instead of by the
cost per GB.

Which system of linear inequalities is represented by the graph? + l tv x-3y > 6 and y > 2x o x + 3y > 6 and y o x-3y > 6 and y> 2x o x + 3y > 6 and y > 2x + 4 la +

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.

Identify the initial amount a and the growth factor b in the exponential function. a(x)=680*4.3^x