This is the concept of algebra, we solve the question as follows:
The cost of renting a camping tent is y
The number of days is x
cost is proportional to number of days, thus:
yαx
y=kx
where k is the constant of proportionality.
If y=$56 when x=7 days, then:
56=7k
hence:
k=56/7=8
therefore:
y=kx will be:
y=8x
the equation in slope intercept form which is y=mx+c is y=8x. In our case c=0 because there was no initial payments required to rent apart from the daily charges.

7 0

3 years ago

the product of 2 consecutive odd integers is equal to 27 plus six times the sum of the integers. what is the larger integer

olganol [36]

2 consecutive odd integers : x and x + 2

x(x + 2) = 27 + 6(x + x + 2)
x^2 + 2x = 27 + 6(2x + 2)
x^2 + 2x = 27 + 12x + 12
x^2 + 2x - 12x - 12 - 27 = 0
x^2 -10x - 39 = 0
(x + 3)(x - 13) = 0

x + 3 = 0
x = -3 (extraneous solution)

x - 13 = 0
x = 13

x + 2 = 15

so ur 2 integers are 13 and 15, with 15 being the largest

8 0

3 years ago