Question

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Answer 1

Answer:

B. $x^2+11x+24\leq 150$

Step-by-step explanation:

Step 1) Defining Sue and Jeremy's ages using x

Sue is 3 years older than Holly (h):

$h=x+3$

Jeremy is 5 years older than Sue, or 8 years older than Holly (j):

$j=x+8$

Product of Jeremy and Sue's ages is less than or equal to 150:

$hj\leq 150$

Step 2) Simplifying into a single equation

Using the equation above we can substitute Sue and Jeremy's ages:

$(x+3)(x+8)\leq 150$

Now we can simplify this equation. Use the distributive property first:

$x(x+8)=x^2+8x\\3(x+8)=3x+24$

Now add all the terms together and get the final answer:

$x^2+8x+3x+24\leq 150\\x^2+11x+24\leq 150$

Final equation: $x^2+11x+24\leq 150$