Compare the costs of bike trips from the two companies shown. for both, the cost is a linear function of the number of days.

Scenic Pathways has no sign up fee and a higher cost per day.

Step-by-step explanation:

Let y represent the total cost for Backcountry Tours.  Let x represent the number of days.

Since they charge $35 per day, this gives us the expression 35x.  We add to this the $25 sign up fee; this gives us 35x+25.  Together this is the total, which gives us the equation

y = 35x+25

For Scenic Pathways, we first find the slope.  We will use the first two points:

Then using this slope and the first point, we use point-slope form:

We will rewrite this into slope-intercept form:

y-45 = 45(x-1)

Use the distributive property on the right hand side:

y-45 = 45(x)-45(1)

y-45 = 45x-45

Add 45 to each side:

y-45+45 = 45x-45+45

y = 45x

This means the cost per day, where x is the number of days, is $45.  Since there is nothing added to this, there is no sign up fee.

30 people weigh 160 pounds or more

to determine the unit cost your would divide the total cost by the number sold.

7 bagels for $4.41       $4.41/7 = $.63 each at fresh side

5 bagels for $3.60         $3.60/5 = $.72 each at value mart