Question

I WILL GIVE BRAINLIEST
Dan’s dog-walking job pays $15 per hour. His job as a car-wash attendant pays $400 each week. Dan wants to know how many hours he needs to spend walking dogs to earn more than $520 in a week.

Which three inequalities can model this situation?

Select all the correct answers.

A. x(15 + 400) > 520
B. 520 < 400 + 15x
C. 15x > 120
D. 15x + 520 > 400
E. 520 < 15x + 400x
F. 15x + 400 > 520

Answer 1

Answers ⤵️

• 520<400+15x
• 15x>120
• 15x+400>520

$\large\underline{\underline{\maltese{\purple{\pmb{\sf{\: Explanation :-}}}}}}$

Let the number of hours be x for his job of Dog walking..

So, The equation would be:

$\blue \dashrightarrow \green{ \sf15x +400}$

Dan wants to earn more than $520 in a week, so this means that the expression is greater than 520:

$\blue \dashrightarrow \green{ \sf15x + 400 > 520}$

If we move the constant to the right-hand side and change its sign, The equation would be:

$\blue \dashrightarrow \green{ \sf15x > 520 - 400} \\ \blue \dashrightarrow \green{ \sf15x > 120}$

Also, the first inequality can be rearranged as:

$\blue \dashrightarrow \green{ \sf520 < 400 + 15x}$