For the past month, Ms. Smith recorded the number of days she went to work each week and the number of gas stations she drove by during those days. How many gas stations does she drive by each day?
Number of day: 3,6,7
number of gas station :12 , 24 , 28
(1 point)
To find out how many gas stations Ms. Smith drives by each day, we first need to calculate the total number of gas stations she drove by and the total number of days she went to work.
Total number of days = 3 + 6 + 7 = 16 days
Total number of gas stations = 12 + 24 + 28 = 64 gas stations
To find out how many gas stations she drives by each day, we divide the total number of gas stations by the total number of days:
64 gas stations / 16 days = 4 gas stations per day
Therefore, Ms. Smith drives by 4 gas stations each day.
Question
Josh and Nick are in a fishing competition. They each recorded the total number of fish caught and their time spent fishing on graphs. Match the correct equation that represents each of their graphs.(2 points)
josh fishing rate
(2,1), (4,2),(6,3)(8,4)
nick fishing rate
(3,1)(6.2)
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To find the equation that represents Josh's fishing rate graph, we need to calculate his rate of fish caught per hour spent fishing.
Josh's fishing rates are as follows:
(2,1), (4,2), (6,3), (8,4)
To find the rate of fish caught per hour, we can calculate the change in the number of fish caught divided by the change in time for each pair of points.
For (2,1) to (4,2):
Rate = (2 fish caught - 1 fish caught) / (4 hours - 2 hours) = 1 fish / 2 hours = 1/2 fish per hour
For (4,2) to (6,3):
Rate = (3 fish caught - 2 fish caught) / (6 hours - 4 hours) = 1 fish / 2 hours = 1/2 fish per hour
For (6,3) to (8,4):
Rate = (4 fish caught - 3 fish caught) / (8 hours - 6 hours) = 1 fish / 2 hours = 1/2 fish per hour
Therefore, the equation representing Josh's fishing rate is y = (1/2)x.
Now, we need to analyze Nick's fishing rate graph:
Nick's fishing rates are as follows:
(3,1), (6,2)
For (3,1) to (6,2):
Rate = (2 fish caught - 1 fish caught) / (6 hours - 3 hours) = 1 fish / 3 hours = 1/3 fish per hour
Therefore, the equation representing Nick's fishing rate is y = (1/3)x.
Find the slope and y-intercept of the line y=3x−6.
(2 points)
slope (m) =
y−intercept (b) =
Given the equation y = 3x - 6, we can see that this equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Comparing the given equation to y = mx + b, we can see that:
- The slope (m) is 3
- The y-intercept (b) is -6
Therefore, the slope (m) is 3 and the y-intercept (b) is -6.
Write y+3x=4
in slope-intercept form.
This question requires you to show your work.
(1 point)
Responses
y=3x+4
y is equal to 3 x plus 4
y=−3x+4
y is equal to negative 3 x plus 4
y−4=−3x
y minus 4 is equal to negative 3 x
y+4=3x
To write the equation y + 3x = 4 in slope-intercept form, we need to solve for y by isolating it on one side of the equation.
y + 3x = 4
Subtracting 3x from both sides to isolate y:
y = -3x + 4
Therefore, the equation is y = -3x + 4.