Kris is starting a delivery business in Ottawa called Kris' Speedy Express. He charges $5, plus $1.50/kg to deliver a package throughout all of Ottawa including all outside communities. His competition, John's Same Day Deliveries charges $6 per delivery plus $1.00/kg. When is it less expensive to use John's Same Day Deliveries?

Can someone help me with the starting equations?

Kris: y = 1.5k + 5

John: y = 1k + 6

solve 1.5k+5 = k+6

Sure! To determine when it is less expensive to use John's Same Day Deliveries instead of Kris' Speedy Express, we need to set up an equation and compare the costs.

Let's denote the weight of the package as "w" kg.

For Kris' Speedy Express, the cost equation will be:
Cost(Kris) = $5 + $1.50(w)

For John's Same Day Deliveries, the cost equation will be:
Cost(John) = $6 + $1.00(w)

To find when John's Same Day Deliveries is less expensive, we need to set up an inequality.

Cost(John) < Cost(Kris)

Substituting the expressions for the costs, we have:

$6 + $1.00(w) < $5 + $1.50(w)

Now, we can simplify the inequality to solve for when John's Same Day Deliveries is less expensive.

$6 - $5 < $1.50(w) - $1.00(w)

$1 < $0.50(w)

Dividing both sides by $0.50:

2 < w

So, John's Same Day Deliveries is less expensive when the weight of the package is greater than 2 kg.