Question

Natalie budgets $146 for yoga training. She buys a yoga mat for $10 and pays $9 per yoga class. Which inequality represents the number of classes, c, that Natalie can take and stay within her budget?
A. 146 ≤ 9c + 10
B. 146 ≥ 9c + 10
C. 146 ≤ 10c + 9
D. 146 ≥ 10c + 9

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Natalie budgets $ 146 for yoga training. She buys a yoga mat for $10 and pays $ 9 per yoga class. Which inequality represents the number of classes, c, that Natalie can take and stay within her budget

A. 146 ≤ 9c + 10

B. 146 ≥ 9c + 10

C. 146 ≤ 10c + 9

D. 146 ≥ 10c + 9

EVALUATION

Here it is given that the number of classes = c

Natalie pays $ 9 per yoga class

So for c classes Natalie has to pay = $ 9c

Again Natalie buys a yoga mat for $ 10

So total amount to pay by Natalie

= $ ( 9c + 10 )

Again Natalie budgets $ 146 for yoga training.

So by the given condition the inequality is

$\sf{9c + 10 \leqslant 146}$

FINAL ANSWER

Hence the correct inequality is

B. 146 ≥ 9c + 10

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