Ineed summer vaca
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question #1
look at the following graph of carl’s travel time and distance:
what is carl’s constant rate of speed (in miles per hour)?
how many miles will carl have traveled after 2 hours?
question #2
look at the following equation:
–4x + y = 10
what is the slope of this line?
what is the value of y when x = 3?
question #3
what is the rate (in dollars per ticket)?
how much money will the theater earn if it sells 150 tickets?

1. Carl's constant rate of speed is the slope of the straight line graph.

This straight line passes through: (0,0), (5,1), (10,2) etc

We can use the slope formula with any two points to find the slope of this line.

The slope formula is .

Let and

Then , .

Carl's speed is miles per minute.

But we must leave our answer in miles per hour

Hence Carl's speed is  miles per hour

After 2 hours, Carl will travel miles.

2. The given line has equation

We write this in slope-intercept form by solving for y.

This is in the form , where is the slope.

When x=3,  

When x=3, y=22

3. The given straight line graph that models the situation passes through:

(0,0) and (20,30).

The slope of this line is

Therefore the rate is $ 15 per ticket.

If the theater sells 150 tickets, the earnings will be: dollars.

each side has a different length.  

step-by-step explanation:

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.