Choose a relationship model that will reach $0 in the same number of days as this scenario: mika has $12 and spends $2 each day. y = –2x – 12 y = –3x + 18 y = –4x + 12 y = –12x + 2

Model (2) has the same number of days as Mika

Step-by-step explanation:

- The relationship models are:

→ y = -2x - 12 ⇒ (1)

→ y = -3x + 18 ⇒ (2)

→ y = -4x + 12 ⇒ (3)

→ y = -12x + 2 ⇒ (4)

- We need to find the relationship model that will reach $0 in the

  same number of days as this scenario:

   Mika has $12 and spends $2 each day

- The rate of spends of Mika is $2 per day

∵ x is the number of days

∵ y is the amount of money after x days

∵ Mika has $12

∵ Mika spends $2 each day

∴ y = -2x + 12

- We need to know the amount of money will be $0 after how

  many days

- Put y = 0

∴ 0 = -2x + 12

- Subtract 12 from both sides

∴ -12 = -2x

- Divide both sides by -2

∴ x = 6

∴ Mika will have $0 after 6 days

- Let us do the same in each model to find x and then find which of

   them have the same x as Mika

→ Model (1)

∵ 0 = -2x - 12

- Add 12 to both sides

∴ 12 = -2x

-Divide both sides by -2

∴ x = -6

→ Model (2)

∵ 0 = -3x + 18

- Subtract 18 from both sides

∴ -18 = -3x

-Divide both sides by -3

∴ x = 6

→ Model (3)

∵ 0 = -4x + 12

- Subtract 12 from both sides

∴ -12 = -4x

-Divide both sides by -4

∴ x = 3

→ Model (4)

∵ 0 = -12x + 2

- Subtract 2 from both sides

∴ -2 = -12x

-Divide both sides by -12

∴ x = 1/6

* Model (2) has the same number of days as Mika

-4

step-by-step explanation:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.