Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. How many months, $m$ $m$ , will it take Svetlana's hair to grow so it is at least 7 centimeters long?

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Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. How many months, $m$ $m$ , will it take Svetlana's hair to grow so it is at least 7 centimeters long?

Write an inequality.

2 Answers

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Answer 1 · 2017-07-11T17:07:35

2 months.

Explanation:

first subtract Svetlana present hair length from the desired hair length in order to find out how much growth is required.

$7 - 4 = 3$ $7 -4 = 3$ so Svetlana needs to grow 3 more cm of hair

Next divide the 3 cm needed to reach the desired length by the rate of growth to find the number of months.

$\frac{3 c m}{\frac{1.5 c m}{m}} = 2 m o n t h s$ $(3 cm)/ { (1.5cm)/m)= 2 months$

Answer 2 · 2017-07-11T17:56:43

Answer: $m = 2$ $m=2$

Explanation:

We are given the current length of hair as $4$ $4$ cm and the growth rate of her hair as $1.5$ $1.5$ cm/month. We write a linear inequality to model this problem in the structure of:

$g m + b \geq r$ $gm+b>=r$
where $g$ $g$ is the slope or growth rate in centimeters, $m$ $m$ as our variable for number of months, $b$ $b$ is the starting length in centimeters, and $r$ $r$ is the required length in centimeters.

Plugging in our values, we have:
$1.5 m + 4 \geq 7$ $1.5m+4>=7$

To find the number of months, $m$ $m$ , for her hair to grow to be at least $7$ $7$ centimeters, we simply solve for $m$ $m$ :
$1.5 m + 4 \geq 7$ $1.5m+4>=7$

$1.5 m \geq 3$ $1.5m>=3$

$m \geq \frac{3}{1.5}$ $m>=3/1.5$

$m \geq 2$ $m>=2$

Therefore, it will take at least 2 months for her hair to be at least 7 centimeters

Science

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Humanities

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Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. How many months, $m$ $m$ , will it take Svetlana's hair to grow so it is at least 7 centimeters long?

Write an inequality.

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. How many months, mm, will it take Svetlana's hair to grow so it is at least 7 centimeters long?

Write an inequality.

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. How many months, $m$ $m$ , will it take Svetlana's hair to grow so it is at least 7 centimeters long?