Answer: t>6
Step-by-step explanation:
Amount to pay = Cost of kennel + (Cost per toy )x (Number of toys)
Let t = the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option.
Given, At Paws R Us, she would pay $50.75 for the kennel and $3.75 for each pet toy.
Amount to pay = $(50.75 + 3.75t)
At Truth or Tail, she would pay $43.25 for the kennel and $5 for each pet toy.
Amount to pay = $(43.25 + 5t)
According to the question , we have
50.75 + 3.75t < 43.25 + 5t
Subtract 3.75t from both sides
50.75+ 3.75t -3.75t < 43.25 + 5t -3.75t
⇒ 50.75< 43.25 +1.25 t
Subtract 43.25 from both sides, we get
50.75 - 43.25 < 1.25 t
⇒ 7.5< 1.25 t
Divide both sides by 1.25 we get
⇒ 6<t
Hence, the required inequality to represent t, the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option:
[tex]t>6[/tex] .
