If y is 2.5 when x is 5 and i varies directly with x, find y when x is 14 ?

ANSWER

EXPLANATION

If y varies directly with x, we write the mathematical statement;

When we introduce the constant of proportionality k, then we write the equation,

If y is 2.5 when x is 5,then we have;

The equation of variation then becomes;

when x=14,

The correct answer is, y = 7

Step-by-step explanation:

It is given that,If y is 2.5 when x is 5 and i varies directly with x

To find the relationship between x and y

From the given data, we can write,

x = 5 the y = 2.5

2.5 = 5/2

Therefore y = x/2

To find the value of y

x = 14

y = x/2 = 14/2 = 7

Therefore the correct answer is, y = 7

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.