Question

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Answer 1

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

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`