Question

1. compare the costs of two tablet computers. in addition to the cost of the tablet, there is a monthly data fee.

a. graph and label the equations on the coordinate plane shown.
b. financial literacy which tablet has a lower monthly data fee? explain.
c. construct arguments if the plan is to use the tablet for eight months, which tablet costs less overall? explain.

Explanation:

Part B

The cost equations for the tablets are in the form \( y = mx + b \), where \( m \) is the slope (representing the monthly data fee) and \( b \) is the y - intercept (representing the cost of the tablet). For Brand A, the equation is \( y = 30x+150 \), so the slope \( m = 30 \). For Brand B, the equation is \( y = 20x + 200 \), so the slope \( m=20 \). Since \( 20<30 \), Brand B has a lower monthly data fee.

Step 1: Calculate total cost for Brand A

The equation for Brand A is \( y = 30x+150 \). We need to find the total cost when \( x = 8 \) (8 months). Substitute \( x = 8 \) into the equation:
\( y=30\times8 + 150\)
\( y = 240+150\)
\( y=390\)

Step 2: Calculate total cost for Brand B

The equation for Brand B is \( y = 20x + 200 \). Substitute \( x = 8 \) into the equation:
\( y=20\times8+200\)
\( y = 160 + 200\)
\( y = 360\)

Step 3: Compare the two costs

Since \( 360<390 \), Brand B costs less overall for 8 months of use.

Answer:

Brand B has a lower monthly data fee. The cost equation of a tablet (including monthly data fee) is in the form \( y = mx + b \), where \( m \) is the monthly data fee. For Brand A, \( y = 30x + 150 \) (monthly data fee \( m = 30 \)), for Brand B, \( y=20x + 200 \) (monthly data fee \( m = 20 \)). Since \( 20<30 \), Brand B has a lower monthly data fee.

Part C