Renee jogs 2.5 miles 4 days a week. She calculates that she jogs a total of 10 miles each week. Use the drop-down boxes to explain how Renee could use place-value patterns to check her answer.

Step-by-step explanation:

Given that Renee jogs 2.5 miles 4 days of a week,

Her total distance in a week = distance × number of days

                                         = 2.5 × 4

                                         = 10

Renee jogs a total of 10 miles in a week.

The place value of 2 is unit and 5 is tenths, so Renee jogs for 2 unit and 5 tenths of miles 4 day in a week.

Her total distance in a week = 2 unit 5 tenths + 2 unit 5 tenths+ 2 unit 5 tenths + 2 unit 5 tenths

But,

5 tenths + 5 tenths + 5 tenths + 5 tenths = 2 unit

2 unit + 2 unit + 2 unit + 2 unit = 8 unit

Her total distance in a week = 8 unit + 2 unit

                                               = 10

Her total distance in a week is 10 miles.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.