Question

Which of these problem situations could best be modeled by the equation below? 52(18) + x = 1200 Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200. Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200. Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200. Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.

Answer 1

Answer:

a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.

Step-by-step explanation:

The model equation is given as:

52(18) + x = 1200

a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.

52($18) + x = $1200

52(18) + x = $1200

Option a is correct

b) Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200.

x = weekly bonus, hence, we have the equation:

$18 + (x)52 = $1200

Option b is wrong

c) Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200.

This is represented as:

$52 + $18(x) = $1200

Option c is wrong

d) Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.

This is represented as :

$52+ $x + $18 = $1200

Option d is wrong.

Therefore, the correct statement that modelled the equation is option a