Answer:
The constant of variation is 3
Step-by-step explanation:
Given.
And y is directly related to x
∝ 
Here k is constant of variation
--------------(1)
Put the and value in equation 1.
So, the constant of variation is 3.
Answer:
y = - 2x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - 5 ← is in slope- intercept form
with m = - 2, thus
y = - 2x + c ← is the partial equation of the line
To find c substitute (- 4, - 5) into the partial equation
- 5 = 8 + c ⇒ c = - 5 - 8 = - 13
y = - 2x - 13 ← equation of line
The Option (1),(4) and (5) are correct.
Step-by-step explanation:
The function given to us is : y= f(x) =49(1/7)^x
The following statements are true regarding the above function is
- As you can see that the value of y(49)is defined for all values of x , so the Domain is the set of all values of x , which is set of all real numbers.
- X is defined for all values of y. So the Range of all the values that y can take is also set of all real numbers greater than zero, i.e y>0.
- As x increased by 1, each y-value is one seventh of the previous y-value
Answer:
350 customers
Step-by-step explanation:
Since this is a ratio question and we only have variable that we need to solve (total people that entered last week), Then we can use the Rule of Three to solve this problem. We do this by multiplying the diagonal values of the following model and dividing by the third value in order to find the variable, like so...
18% of customers <====> 63 customers
100% of customers <====> x customers
(100 * 63) / 18 = x
6,300 / 18 = x
350 = x
Finally, we can see that a total of 350 customers entered the store last week.
Brackets Exponents Divide Multiply Addition Subtract (order of math operations)
