Lex was chatting with his friends thomas and mike. He was wondering how much it will cost him to take a taxi from his house to work, a total of 12 km. Thomas and mike both recently tok a taxi from the same company that charge a intial fee and also a constant rate per km travelled. Neither can remember how much the rates were but they have the receipt. Thomas traveled 10km and paid %24.50. Mike traveled 15km and paid $35. How much wwill Lex pay to travel a distance of 12km.

$28.3

Step-by-step explanation:

x=rate for 1km

y=initial fee

Mike: $35 for 15km -> 35 = 15x + y

Thomas: $24.50 for 10km -> 24.50 = 10x + y

Using those two equations we see the following:

Mike paid $10.5 more for 5 more km. The initial fee remains unchanged, so we can calculate the rate for 1km, which is 10.5/5=2.1.

35 = 15x + y

24.50 = 10x + y

10.5 = 5x

2.1=x

Using that value with one of the original equations we can calculate the initial fee.

35 = 15x + y

35 = 15*2.1 + y

35 = 31.5 + y

3.5 = y

Mike paid 15*2.1=31.5 ($2.1 for every km) plus the initial fee, his total was $35.

We subtract the 31.5 from the 35(total) and get the initial fee, which is $3.5.

Let's see what Lex will pay:

Km travelled times 2.1 (the rate for 1km) plus 3.5 (the initial fee).

12*2.1 + 3.5 = 28.3

Lex will pay $28.3 for the same taxi company to travel 12 km.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is