Ratios, Proportions, Unit Rates, Slopes

What is the slope of the line pictured? HINT: Just like "any" line graph; if it goes up, from LEFT TO RIGHT, then it's a POSITIVE slope.

• 4/3

• -4/3

• 3/4

• -3/4

What is the slope in the picture? HINT: Just like line graph, if it goes up, from LEFT TO RIGHT, then it's a POSITIVE slope.

• Positive

• Negative

• Zero

• Undefined

Find the slope

• 4/5

• 5/4

• -5/4

• -4/5

Emily enlarged the size of a painting to a width of 15 in. What is the new height if it was originally 3 in. wide and 4 in. tall? HINT: Set up a proportion using two quantities:

3/4 = 15/H where we're comparing Width/Height in both ratios.

• 17 in.

• 20 in.

• 5 in.

• 23 in.

Match the following proportional situations to their slope.

• m=120

• 240 bricks, y, are needed to build 2 walls, x. Which slope best represents this relationship?

• m=2

• There are 6 fights in 3 days. What slope could represent the amount of fights each day.

• m=4

• A swimmer swims 26 lapes each minute. What slope could represent this situation?

• m=26

• 20 pieces of velcro are needed to hang up 5 posters. What slope could represent the unit rate for pieces of velcro per poster?

Find the slope from the table.

• 3

• -3

• 20

• Not a constant slope/Non-Linear

Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. When guests come, she makes 96 fluid ounces of coffee. How many grams of coffee beans does Diana use when she has visitors?

Mathematical Equivalence

ON

What is the cost per hour for a canoe rental?

• $12 per hour

• $14 per hour

• $18 per hour

• $26 per hour

Using the table above, determine the equation of the line.

• g = 5m

• g = 10m

• m = 1/5g

• m = 1/10g

Using the graph, determine the equation of the line.

• y = 5x

• y = 10x

• y = 1/5x

• y = 1/10x