1. a website sells sweaters. the amount of sales p(c) varies directly with the number of customers c. ten customers bought a total of $455 worth of sweaters. which equation can be used to find the sales for c customers? a. p(c) = 45.5c b. p(c) = 455c c. p(c) = 4550/c d. p(c) = 455/c 2. the time it takes to wash all the windows on a large building w(x) varies inversely with the number of workers assigned to the job x. it takes 6 hours to complete the job when 4 workers are assigned to it. which equation can be used to find the time to complete the job when x workers are assigned to it? a. w(x) = 1.5x b. w(x) = 24x c. w(x) = 10/x d. w(x) = 24/x

1. A) P(c) = 45.5c

2. B) W(x) = 24x

Step-by-step explanation:

1) If the amount of sales p(c) varies directly with the number of customers c, mathematically we have;

p(c) = kc where k is the constant of proportionality

Since ten customers bought a total of $455 worth of sweaters,

p(c) = $455 and c = 10

Substituting this values in the equation we have to get k

$455= 10k

k = $455/10

k = $45.5... (1)

To find the sales p(c) for c customers, we substitute the value of k in the formula

p(c) = kc

p(c) = $44.5c (A)

b) If the time it takes to wash all the windows on a large building W(x) varies inversely with the number of workers assigned to the job x, we will have,

W(x) = k/x (since it is inverse)

If it takes 6 hours to complete the job when 4 workers are assigned to it, the equation becomes;

6= k/4

k = 24... (1)

The equation that can be used to find the time to complete the job when x workers are assigned to it will be;

W(x) = kx

Since k = 24, we will substitute it in the formula to have;

W(x) = 24x which is the required equation (B)

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8