Question

A sports club needs to raise at least $240 by selling chocolate bars for $3.00 each. Sebastian wants to know how many chocolate bars, c, the sports club must sell in order to reach their goal. He represented this situation as 3 c greater-than-or-equal-to 240. Which graph represents this inequality? A number line going from 718 to 722. A closed circle is at 720. Everything to the right of the circle is shaded. A number line going from 718 to 722. A closed circle is at 720. Everything to the left of the circle is shaded. A number line going from 78 to 82. A closed circle is at 80. Everything to the right of the circle is shaded. A number line going from 78 to 82. A closed circle is at 80. Everything to the left of the circle is shaded.

Answer 1

SOLUTION

TO DETERMINE

A sports club needs to raise at least $ 240 by selling chocolate bars for $3.00 each.

Sebastian wants to know how many chocolate bars, c, the sports club must sell in order to reach their goal.

He represented this situation as 3c ≥ 240. Which graph represents this inequality.

EVALUATION

Here it is given that a sports club needs to raise at least $240 by selling chocolate bars for $3.00 each

Now Sebastian wants to know how many chocolate bars, c, the sports club must sell in order to reach their goal

Since number of chocolate bars = c and each chocolate bars costs $ 3.00

So cost of c chocolate bars = 3c

Since the sports club needs to raise at least $240

So the required inequality is

$\sf{3c \geqslant 240}$

So Sebastian has represented this situation correctly using inequality

Again the inequality is

$\sf{3c \geqslant 240}$

$\sf{ \implies \: c \geqslant 80}$

Thus the solution set is

$\sf{ = \{ \: c \in \mathbb{N } : c \geqslant 80} \: \}$

$\sf{ = \{ \:80 , 81 , 82, 83,... \}}$

So in the attachment the number line 3 represents the inequality

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