Under his cell phone plan, Xavier pays a flat cost of $44 per month and $3 per gigabyte. He wants to keep his bill at $58.40 per month. Write and solve an equation
which can be used to determine x, the number of gigabytes of data Xavier can use
while staying within his budget.

4.8 gigabytes

Step-by-step explanation:

Let the number of gigabytes of data = x

Xavier pays a flat cost of $44 per month and $3 per gigabyte. He wants to keep his bill at $58.40 per month.

The above expression above is represented by the equation:

$44 + $3 × x = $58.40

44 + 3x = 58.40

Solving for x

Subtract 44 from both sides

44 - 44 + 3x = 58.40 - 44

3x = 14.4

x = 14.4/3

x = 4.8 gigabytes

Step-by-step explanation:

77

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.