Bot GPT 4-o mini To find out how many push-ups Jada needs to do each day for the rest of the week, we can set up an inequality.
- Total Push-ups Goal: Jada wants to do at least 100 push-ups in total this week.
- Push-ups Already Done: She has done 30 push-ups on Sunday.
Let \( x \) be the number of push-ups she will do each day for the remaining days of the week. There are 6 days left in the week (Monday to Saturday).
The inequality can be set up as follows:
\[ 30 + 6x \geq 100 \]
Now, we will solve the inequality:
- Subtract 30 from both sides:
\[ 6x \geq 100 - 30 \] \[ 6x \geq 70 \]
- Divide both sides by 6:
\[ x \geq \frac{70}{6} \] \[ x \geq \frac{35}{3} \approx 11.67 \]
Since Jada is doing whole push-ups, we round up to the nearest whole number, giving us:
\[ x \geq 12 \]
Now, let's interpret the solution in the context of the problem. Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal of 100 push-ups.
The correct answer choice is:
- Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.
1 answer