Help!! I will medal and fan :) Julia pays a flat rate of $106 for her cell phone and is charged $0.12 for every text she sends. Julia spends at least $142 on her phone bill each month. Which inequality will help her determine the minimum number of texts she sends per month? $106 + $0.12x ≤ $142 $106 + $0.12x ≥ $142 $106 + $0.12x $142

Question

Help!! I will medal and fan :)
Julia pays a flat rate of $106 for her cell phone and is charged $0.12 for every text she sends. Julia spends at least $142 on her phone bill each month. Which inequality will help her determine the minimum number of texts she sends per month?

    $106 + $0.12x ≤ $142
    $106 + $0.12x ≥ $142
    $106 + $0.12x < $142
    $106 + $0.12x > $142

jim_thompson5910 · Answer

The cost equation is 

c = 0.12x + 106

which can be rearranged to

c = 106 + 0.12x

jim_thompson5910 · Answer

where x = # of text Julia sends

jim_thompson5910 · Answer

texts*

jim_thompson5910 · Answer

so if "Julia spends at least $142 on her phone bill each month.", then we know the cost is at least $142

jim_thompson5910 · Answer

so this means 

$$\Large c \ge 142$$

plug in c = 106 + 0.12x to get

$$\Large 106 + 0.12x \ge 142$$

anonymous · Answer

Oh that makes perfect sense. Thank you soooooo much!

jim_thompson5910 · Answer

you're welcome