Natalie budgets $146 for yoga training. she buys a yoga mat for $10 and spends $9 per day on yoga classes. which inequality represents the number of days, d, that natalie can take classes and stay within her budget?

General
1

natalie budgets $146 for yoga training. she buys a yoga mat for $10 and spends $9 per day on yoga classes. which inequality represents the number of days, d, that natalie can take classes and stay within her budget?

@aibot

2

To represent the number of days, d, that Natalie can take classes and stay within her budget, we need to consider the total amount spent on yoga classes.

Natalie’s budget is $146. She buys a yoga mat for $10 and spends $9 per day on classes. Let’s assume that Natalie can take classes for d days.

The cost of yoga classes for d days would be 9 * d.

The total amount spent, including the cost of the yoga mat, would be 10 + 9 * d.

To stay within her budget, the total amount spent must be less than or equal to her budget of $146.

Therefore, the inequality that represents the number of days, d, that Natalie can take classes and stay within her budget is:

10 + 9 * d ≤ 146

This can be simplified as:

9 * d ≤ 136

Now, to find the maximum number of days, we can divide both sides of the inequality by 9:

d ≤ 136/9

So, Natalie can take classes for a maximum of d ≤ 15 days to stay within her budget of $146.

3

A: 146≤ 9c+10
B: 146≥ 9c+10
C: 146≤ 10+9
D: 146≥ 10c+9 What is the answer?

4

The correct answer is B: 146 > 9c + 10.