Question
Every yard Johnnie mows he earns $7
how many yeards will he have to mow to have no more than $900 in his account
make a table with 3 collumns
show the inequality
how many yeards will he have to mow to have no more than $900 in his account
make a table with 3 collumns
show the inequality
Answers
GPT-4o mini
To determine how many yards Johnnie needs to mow to ensure he does not earn more than $900, we can set up an inequality. Let \( x \) represent the number of yards he mows. The total amount Johnnie earns is given by the expression \( 7x \).
The inequality can be expressed as:
\[ 7x \leq 900 \]
Now, let's solve the inequality for \( x \):
\[ x \leq \frac{900}{7} \]
\[ x \leq 128.57 \]
Since Johnnie can't mow a fraction of a yard, we round down to the nearest whole number:
\[ x \leq 128 \]
Therefore, Johnnie can mow a maximum of 128 yards to ensure he does not exceed $900.
Now, we can create a table with three columns: the number of yards mowed (x), the amount earned ($), and the total balance in John's account after mowing.
| Yards Mowed (x) | Amount Earned ($) | Total Balance ($) |
|------------------|-------------------|-------------------|
| 0 | 0 | 0 |
| 10 | 70 | 70 |
| 20 | 140 | 140 |
| 30 | 210 | 210 |
| 40 | 280 | 280 |
| 50 | 350 | 350 |
| 60 | 420 | 420 |
| 70 | 490 | 490 |
| 80 | 560 | 560 |
| 90 | 630 | 630 |
| 100 | 700 | 700 |
| 110 | 770 | 770 |
| 120 | 840 | 840 |
| 128 | 896 | 896 |
In this table, you can see that as Johnnie mows more yards, his earnings increase as well. He can mow up to 128 yards without exceeding his target of $900.
The inequality can be expressed as:
\[ 7x \leq 900 \]
Now, let's solve the inequality for \( x \):
\[ x \leq \frac{900}{7} \]
\[ x \leq 128.57 \]
Since Johnnie can't mow a fraction of a yard, we round down to the nearest whole number:
\[ x \leq 128 \]
Therefore, Johnnie can mow a maximum of 128 yards to ensure he does not exceed $900.
Now, we can create a table with three columns: the number of yards mowed (x), the amount earned ($), and the total balance in John's account after mowing.
| Yards Mowed (x) | Amount Earned ($) | Total Balance ($) |
|------------------|-------------------|-------------------|
| 0 | 0 | 0 |
| 10 | 70 | 70 |
| 20 | 140 | 140 |
| 30 | 210 | 210 |
| 40 | 280 | 280 |
| 50 | 350 | 350 |
| 60 | 420 | 420 |
| 70 | 490 | 490 |
| 80 | 560 | 560 |
| 90 | 630 | 630 |
| 100 | 700 | 700 |
| 110 | 770 | 770 |
| 120 | 840 | 840 |
| 128 | 896 | 896 |
In this table, you can see that as Johnnie mows more yards, his earnings increase as well. He can mow up to 128 yards without exceeding his target of $900.