Question

On a final exam for math, Lauren was required to answer a combination of at least 15 equations or word problems. Lauren knew that each equation would take her 5 minutes to solve and each word problem would take 8 minutes. Lauren had 120 minutes to complete the final exam.

Write an inequality for each constraint. Use the

‾‾√

x

‾‾√

x

button above to type formulas with appropriate inequality symbols. (Hint: one constraint is time and the other is the number of needed items. Let x be the number of equations and y be the number of word problems solved.)

Answer 1

Number of questions constraint:

x + y ≥ 15

Time constraint :

5x + 8y ≤ 120

Explanation:

Let :

x = number of equations

y = number of word problems

Number of answers required = atleast 15

Equation takes 5 minutes

Word problem takes 8 minutes

Time available to complete exam = 120 minutes

Constraints :

Number of questions required

Total questions shout be atleast 15

x + y ≥ 15

Time constraint :

5x + 8y ≤ 120