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Ymorist [56]
3 years ago
11

the relationship between the x- and y- values in each table is linear. write a function. find the amount and rate of change. (5

& 6)

Mathematics
1 answer:
Doss [256]3 years ago
6 0

(5)

Since, the relationship is linear

so, we can use point slope form of line and find equation of line

we can select any two points

first point is (4,10)

so, x1=4 , y1=10

second point is (7,17.5)

so, x2=7 , y2=17.5

now, we can find slope

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{17.5-10}{7-4}

m=2.5

now, we can use point slope form of line

y-y_1=m(x-x_1)

now, we can plug values

y-10=2.5(x-4)

we get

y=2.5x

Initial amount:

It is the value of y when x=0

so, we can plug x=0 and find y

y=2.5\times 0

y=0

So, initial amount is 0

Rate of change:

we know that rate of change is slope

so, m=2.5

so, the rate of change is 2.5

(6)

Since, the relationship is linear

so, we can use point slope form of line and find equation of line

we can select any two points

first point is (2,29)

so, x1=2 , y1=29

second point is (5,41)

so, x2=5 , y2=41

now, we can find slope

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{41-29}{5-2}

m=4

now, we can use point slope form of line

y-y_1=m(x-x_1)

now, we can plug values

y-29=4(x-2)

we get

y=4x+21

Initial amount:

It is the value of y when x=0

so, we can plug x=0 and find y

y=4\times 0+21

y=21

So, initial amount is 21

Rate of change:

we know that rate of change is slope

so, m=4

so, the rate of change is 4


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A clothing store has a going-out-of business sale. They are selling pants for $8.99 and shirts for $3.99. You can spend as much
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Answer:

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As per the statement:

Since, a clothing store are selling pants for $8.99 and shirts for $3.99

then;

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Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.

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x-intercept:

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8.99x + 3.99(0) \leq 60

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Similarly.

For y-intercept:

Substitute the value x= 0  in [1] and solve for x;

8.99(0) + 3.99y \leq 60

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8 0
3 years ago
1+1
Bezzdna [24]

Answer:

2

Step-by-step explanation:

Well you should count with fingers, one finger and one finger, two fingers

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3 years ago
Read 2 more answers
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