Question

GIVING 100 POINTS IF U ANSWER ASAP

A mobile company has the following plans on their website. STANDARD PLAN: $40 for 5GB (potential starting point) and $15/GB thereafter (this is a rate of change, so it could be a slope)

UNLIMITED PLAN: $80 Always, with no additional charges.

The equation for the unlimited plan is y=80.
Write an equation (y=mx+c) for the standard plan.
IT IS NOT Y=15X+40

Answer 1

y = 15x - 35

Explanation:

STANDARD PLAN information:

• $40 for 5GB.
• $15 per GB thereafter.

Define the variables:

• Let x be the number of GB.
• Let y be the cost in dollars.

If it costs $40 for the first 5GB then y = 40 when 0 ≤ x ≤ 5.

It costs $15 per GB after the first 5GB. Therefore:

• When x = 6, y = 40 + 15 = 55.
• When x = 7, y = 40 + 15(2) = 70.
• When x = 8, y = 40 + 15(3) = 85.

Therefore:

⇒ y = 40 + 15(x - 5)

⇒ y = 40 + 15x - 75

⇒ y = 15x - 35