Rosa is making bracelets to sell at the craft fair. Yesterday she made 36 in 8 hours. Find k the
(constant of proportionality) and write the rule
(equation) for this relationship.

9514 1404 393

  k = 4.5

  y = 4.5x . . . y bracelets in x hours

Step-by-step explanation:

The constant of proportionality is the "unit rate", the number of bracelets per hour.

  k = bracelets/hours = 36/8 = 4.5

The constant of proportionality is 4.5 (bracelets per hour).

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The equation of a proportional relationship is ...

  y = kx

For this relationship, ...

  y = 4.5x . . . . . . y bracelets in x hours

sorry not sure

step-by-step explanation:

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.