Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he sold daily:

part a: in your own words, describe the relationship between the temperature of the city and the number of ice cream cones sold. (5 points)

part b: describe how you can make the line of best fit. write the approximate slope and y-intercept of the line of best fit. show your work, including the points that you use to calculate slope and y-intercept. (5 points)

Part A: When the temperature increases, the number of ice cream cones sold increases.  It shows close to a linear relationship.

Part B: y = 2x+5

Step-by-step explanation:

Part A: When the temperature increases, the number of ice cream cones sold increases.  It shows close to a linear relationship.

Part B: To write the line of best fit, use the points that run a line through the data.

You can connect (0,5) and (25,55) and have a line through the middle of the data.

This line intercepts the y-axis at (0,5) so b=5.

It's slope is

The slope is 2 and b=5 so y = 2x + 5.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours