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Stels [109]
3 years ago
11

A direct variation function contains the points (-9, -3) and (-12,4). Which equation represents the function?

Mathematics
1 answer:
Triss [41]3 years ago
3 0

Answer:

y = -\frac{7x}{3} - 24

Step-by-step explanation:

We can model this function using the equation of a line:

y = ax + b

Where a is the slope of the line and b is the y-intercept.

To find the values of a and b, we can use the two points given:

(-9, -3):

-3 = a * (-9) + b

-9a + b = -3

(-12, 4):

4 = a * (-12) + b

-12a + b = 4

If we subtract the second equation from the first one, we have:

-12a + b - (-9a + b) = 4 - (-3)

-12a + 9a = 4 + 3

-3a = 7

a = -7/3

Then, finding the value of b, we have:

-12a + b = 4

28 + b = 4

b = -24

So the equation is:

y = -\frac{7x}{3} - 24

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Answer:

The cost of 1 sparkling bottle in this week is less than last week, so we pay less this week.

We pay $0.44 less this week.

Step-by-step explanation:

Given,

Cost of 1 sparkling bottle last week = $1.69

This week cost of 4 bottles is $5.

So we have to find the cost of 1 bottle.

For this we use the unitary method, we get the cost of 1 bottle;

Cost of 1 sparkling bottle this week = \frac{5}{4}=\$1.25

The cost of 1 sparkling bottle in this week is less than last week, so we pay less this week.

For finding how much we pay less this week, we have to subtract cost of 1 sparkling bottle this week from cost of 1 sparkling bottle last week.

Framing the above sentence in equation form, we get;

Amount\ of\ money\ we\ pay\ less=1.69-1.25=\$0.44

Hence we pay $0.44 less this week.

8 0
3 years ago
Solve the inequality –3(r – 5) + 7 > 28.
docker41 [41]

Answer: r<-2

Step-by-step explanation:

-3(r-5)+7>28

-3(r-5)+7-7>28-7

-3(r-5)>21

3(r-5)/3 < -21/3

r-5<-7

r-5+5<-7+5

r<-2

5 0
3 years ago
The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy charges $30 to mow a lawn t
kati45 [8]
The answer is d=20h

Hope this helps, please brainliest, If u can <33
8 0
3 years ago
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Lillian wants to ride her bicycle 23.4 miles this week. She has already ridden 12 miles. If she rides for 3 more days, write and
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9514 1404 393

Answer:

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Step-by-step explanation:

Lillian wants her mileage total to be ...

  12 +3x = 23.4 . . . . an equation that can be used to find x

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Lillian would have to ride an average of 3.8 miles each day to reach her goal.

6 0
3 years ago
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