Sofia still lives at home, but with the rent paying $200 per month. she has a job that pays about $700 per month after taxes. she has to pay for her own personal items such as clothing and toiletries spending about $120 per month. going out with friends is important to her, but she also wants to save money to buy her own car. select the budget that would best meet her goals.

monthly budget
budget a
budget b
budget c
budget d
income
$700
$700
$700
$700
expenses -
rent
personal items
entertainment
savings

$200
$120
$100
$250

$200
$120
$300
$50

$200
$120
$200
$150

$200
$120
$325
$25

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.

here is me explaining it:

the pizza would be delivered around 5, give or take 15 minutes. this means it could be delivered anywhere from 4: 45 to 5: 15

let's say 5: 00 is equivalent to 0 on a number line and x represents time. 4: 45 would be equal to -15x because we are 15 minutes behind our starting point, 5: 00. 5: 15 would be equal to 15x because we are 15 minutes ahead of your starting point (which means you're late on the pizza delivery! )

absolute value is very confusing. the basic definition is how far you are from your starting point. if we deliver the pizza at 4: 45 (15 minutes before the starting point) we would be -15. this means we are 15 away from our starting point, 5: 00. that's the absolute value. |-15| (absolute value of negative fifteen) is equal to 15. if you did not understand this i suggest rereading this paragraph.

the normal way you would write this scenario would be 4.75 (4 and 3 quarters, or 4: 45. you can also write as a fraction.) is less than x and x is less than 5.25 (5 and 1 quarter or 5: 15). 4.75< x< 5.25 the reason why i am using numbers is because you cannot represent typical time as values on a graph, number line, or in an equation.

another way to write this scenario is with absolute value. we can write this as |x| being less than or equal to .25 (remember, this just means 15 minutes).           |x| ≤ .25.

sorry if the end was confusing. because we are talking about time this whole question is 10x harder. like i said earlier, you cannot represent time as, well, time, in a graph, equation, or number line. i set the values as follows: 1/4 or .25 for 15 minutes, and 1 for 1 hour. this is just a common way to set up graphs involving time.

|x| ≤ .25

i hope this ! : )

tell me if you need more assistance

5x10^11 x 65

325 x 10^11

or

325,