Mathematics, 21.06.2019 21:00 batmanmarie2004

The functions below show the amount of money bella and sweet t had saved after earning money for doing chores. which description best compares the two functions?

The functions below show the amount of money bella and sweet t had saved after earning money for doi

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Answer from: tilievaughn14

Bella saves more per chore than Sweet T.

Answer from: flower1750

Bella saves more per chore than Sweet T

Step-by-step explanation:

Amount of money Bella saved : d=3.5c+11

where d represents savings

c represents number of chores

11 represents initial value

Sweet T saved :

Number of chores (c) Savings (d)

1 12

2 14

3 16

4 18

5 20

So, equation of amount saved by sweet T can be formed using two point slope form :

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

(x_1,y_1)=(1,12)

(x_2,y_2)=(2,14)

Substituting the values in equation :

$y-12=\frac{14-12}{2-1}(x-1)$

y-12=2x-2

y=2x+10

y represents the amount she saved

x represents the number of chores .

So, equation of amount saved by sweet T : d=2c+10

option 1:The initial value of Bella is less than initial value of Sweet T

11 is not less than 10

Hence Option 1 is wrong.

Option 2: After both have done 5 chores Sweet T has saved more

Bella's equation : d=3.5c+11

At c = 5 , $d=3.5\times 5+11 =28.5$

Sweet T 's equation : d=2c+10

At c = 5 , $d=2\times 5+10 =20$

Bella saved more .

Hence Option 2 is wrong.

Option 3: Bella saves more per chore than Sweet T

Bella's equation : d=3.5c+11

At c = 1 , $d=3.5\times 1+11 =14.5$

Sweet T 's equation : d=2c+10

At c =1 , $d=2\times1+10 =12$

Bella save more per chore

Hence Option 3 is right

Option 4: Sweet T's saving increase at faster rate than Bella's

Equation of line : y=mx+c

where m is the slope which tells us about the rate .

Bella's equation : d=3.5c+11

Sweet T 's equation : d=2c+10

At c =1 , $d=2\times1+10 =12$

Bella save more per chore

Comparing both equations with equation of line

Bella's m = 3.5

Sweet T's m = 2

Thus Bella's saving increase at faster rate than Sweet T's.

Hence Option 4 is wrong.

Answer from: Quest

answer: rlly

step-by-step explanation:

Answer from: Quest

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The functions below show the amount of money bella and sweet t had saved after earning money for doi...