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Temka [501]
3 years ago
8

Compare the table and equation.

Mathematics
2 answers:
defon3 years ago
6 0
ANSWER

The table has the greater slope?

EXPLANATION

From the given table we can use any two ordered pairs to find the slope.

From the table, when

x_1=2,y_1=10

when

x_2=3,y_2=15

The slope formula is given by,

m = \frac{y_1-y_2}{x_1-x_2}
We substitute the values to obtain,

m = \frac{10 - 15}{2 - 3}
We simplify to get,

m = \frac{-5}{ - 1} = 5
As for the given equation

y=4.5x

the slope is
m= 4.5

Comparing the two slopes, we can see that,

5\:>\:4.5


Therefore the table has the greater slope.
prohojiy [21]3 years ago
4 0
Looking at the table you can see the Y goes up by 5 for each y. In the equation, the slope is only 4.5. The table has the greater slope.
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30 years ago zoe was 2/3 as old as luke, 18 years ago zoe was 5/6 as old as luke how old are they now
barxatty [35]

Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now

<h3>How to determine how old they are now?</h3>

From the question, we have the following statements that can be used in our computation:

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

Let their present ages be represented as

Zoe = x

Luke = y

So, we have the following representations

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

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<u>18 years ago</u>

Zoe was 5/6 as old as Luke

x - 18 = 5/6(y - 18)

So, we have the following system of equations

x - 36 = 2/3(y - 36)

x - 18 = 5/6(y - 18)

Make x the subject in x - 18 = 5/6(y - 18)

x = 5/6(y - 18) + 16

Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)

5/6(y - 18) + 16 - 36 = 2/3(y - 36)

Open the brackets

5/6y - 15 + 16 - 36 = 2/3y - 24

Evaluate the like terms

5/6y - 35 = 2/3y - 24

Multiply through by 6

5y - 210 = 4y - 144

Evaluate the like terms

y = 66

Substitute y = 66 in x = 5/6(y - 18) + 16

x = 5/6(66 - 18) + 16

Evaluate

x = 56

Recall that

Zoe = x

Luke = y

So, we have

Zoe = x = 56

Luke = y = 66

Hence, they are 56 and 66 years, now

Read more about equations at

brainly.com/question/2476251

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