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3 years ago

Ray’s weight increased by 11% in the last two years. If he gained 16.5 pounds, what was his weight two years ago?

Mathematics

2 answers:

xz_007 [3.2K]3 years ago

7 0

11% = 16.5
1% = 16.5 / 11
= 1.5
100% = 1.5 * 100
= 150. His weight two years ago was 150 pounds.

olchik [2.2K]3 years ago

6 0

X + (x * .11) = x + 16.5
2x * .11 = x + 16.5
Subtract x from both sides.
x * .11 = 16.5
Divide by .11 on both sides.
x = 150

Ray weighed 150 pounds two years ago.

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Solve the system by graphing. Write the solution as an ordered pair. y = 1/3x + 2 y = –x – 2

Dima020 [189]

ANSWER

The solution is where the two graphs intersect, which is
$(-3,1).$

EXPLANATION

The given system of equations are
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We need to graph the two equations.

Let us graph

$y = \frac{1}{3} x + 2$
first.

We need at least two points.

You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.

When
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$\Rightarrow \: y = \frac{1}{3} (0) + 2$

$\Rightarrow y = 0 + 2$

$\Rightarrow y = 2$

So this gives us the ordered pair,

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When
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$0= \frac{1}{3} x + 2$

$\Rightarrow \: - 2 = \frac{1}{3} x$

$\Rightarrow \: - 2 \times 3= x$

$\Rightarrow \: -6= x$
This also gives the ordered pair

$(-6,0).$

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.

For the second line

$y = - x - 2$

We again find the intercepts and plot them.

When
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$y = - 0 - 2$

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This gives the ordered pair

$(0,-2)$

Also, when
$y = 0$

then we have,

$0 = - x - 2$

$2 = - x$

$x = - 2$

Then we again have the ordered pair,

$(-2,0)$

We plot these two points on the same graph sheet to obtain the red graph above.

The intersection of the two lines is
$(-3,1)$

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= 0.009 × 100

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