Ryan has two coupons for a phone.
Coupon A:
$45
rebate on a
$65
phone
Coupon B:
65%
off of a
$65
phone
Choose the coupon that gives the lower price.
Then fill in the blank with the correct value.
Coupon A gives the lower price.
The price with coupon A is $ less than the price with coupon B.
Coupon B gives the lower price.
The price with coupon B is $ less than the price with coupon A.
Coupon A: The price with coupon A is $20 less than the price with coupon B.
For each equation, determine whether
x
and
y
are directly proportional (that is, if the equation shows direct variation).
If so, then find the constant of proportionality (the constant of variation).
(a)
x=7+6x=y
Proportional
Constant of proportionality:
=k
Not proportional
(b)
Y=−3/5x
Proportional
Constant of proportionality:
=k
Not proportional
(a) The equation x = 7 + 6y does not represent direct variation because the variable y is not directly proportional to x. Therefore, there is no constant of proportionality.
(b) The equation y = -3/5x represents direct variation. The constant of proportionality is -3/5.
Ms. Brooks gave her students a biology test last week.
Here are the test scores for each of the twelve students.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of test scores in that class.
(Note that we are using a class width of
5
.)
Test score
92 90 85 97
80 89 93 80
95 79 91 80
Test score
92 90 85 97
80 89 93 80
95 79 91 80
Test score Frequency
79
to
83
84
to
88
89
to
93
94
to
98
Here is the completed grouped frequency distribution for the given test scores:
Test score Frequency
79 to 83 1
84 to 88 2
89 to 93 4
94 to 98 5
Suppose that
y
varies directly with
x
, and
=y9
when
=x18
.
(a) Write direct variation equation that relates x and y
(b) Find y when x = 5
(a) The direct variation equation that relates x and y can be written as y = kx, where k is the constant of variation.
(b) To find y when x = 5, we can use the given information y = 9 when x = 18 to find the value of k.
Substituting the values into the direct variation equation:
9 = k * 18
Solving for k, we have:
k = 9/18 = 1/2
Now that we have the value of k, we can find y when x = 5:
y = (1/2) * 5 = 5/2 = 2.5
Therefore, when x = 5, y is equal to 2.5.
Solve the following proportion for
u
.
u/9 = 5/13
Round your answer to the nearest tenth.
=u
To solve the proportion u/9 = 5/13, we can cross-multiply:
u * 13 = 9 * 5
13u = 45
Then, to solve for u, we divide both sides of the equation by 13:
u = 45/13
Rounding to the nearest tenth, u is approximately equal to 3.5.
Solve for m.
m-14=n