A hiker ascended 3/4 of a kilometer in 1/16 of an hour. What was the mountain hiker's ascent rate in kilometers per hour (kph)?(1 point)
Responses
12 kph
12 kph
3 kph
3 kph
16 kph
16 kph
9 kph
To find the hiker's ascent rate in kilometers per hour, we need to divide the distance (3/4 kilometer) by the time (1/16 hour).
3/4 ÷ 1/16 can be simplified to 3/4 x 16/1, which equals 48/4 or 12 kilometers per hour.
Therefore, the correct answer is: 12 kph.
If three dozen muffins cost $9, what is the cost per muffin?(1 point)
Responses
$0.25
$0.25
$4.00
$4.00
$0.50
$0.50
$3.00
To find the cost per muffin, we divide the total cost ($9) by the number of muffins (3 dozen, which is 36 muffins).
$9 ÷ 36 = $0.25 per muffin.
Therefore, the correct answer is: $0.25.
if you know that 4 of an item costs a certain amount, and you want to find out how much one costs, which operation will you use?(1 point)
Responses
addition
addition
division
division
parentheses
parentheses
multiplication
To find out how much one item costs when you know the cost of a certain number of items, you will use division.
You divide the total cost by the number of items to find the cost per item.
Therefore, the correct answer is: division.
Which of these equations is a non-proportional relationship?(1 point)
Responses
y=−15x
y is equal to negative 15 x
y=23x
y is equal to 2 thirds x
y=10x+10
y is equal to 10 x plus 10
y=4.08x
A non-proportional relationship is one where the ratio between the variables is not constant.
Out of the given equations, the equation that represents a non-proportional relationship is:
y = 10x + 10.
In this equation, the y-intercept is 10, which means that even when x is 0, y will still have a value of 10.
Therefore, the correct answer is: y = 10x + 10.
What is the unit rate of height per day based on the graph?
(1 point)
Responses
1/5
1 fifth
5
5
1
1
0
Without the context of the graph or any additional information, it is not possible to determine the unit rate of height per day. Please provide more details or provide the graph for a more accurate response.
Which ratio is equivalent to 9/78 ?(1 point)
Responses
1/3
1 third
3/18
3 over 18
3/26
3 over 26
18