Answer:
Step-by-step explanation:
40 + 15 + 0.25m = 45 + 0.35m
55 + 0.25m = 45 + 0.35m
10 = 0.10m
m = 100 miles
Answer:
The function
best models the situation.
Step-by-step explanation:
The values in the table do not lie over a straight line because their slope is not a constant; for example


we see here that
therefore a linear equation cannot represent this situation.
The values in the table are increasing exponentially , therefore the equation modeling the situation will be of the form:

we take two points from the table for evaluating
and
namely points
and
thus we have
(1). 
(2).
From equation (1) we solve for 

and put this value into equation (2)



with this value
, we solve for
in equation (1):



Thus we have the equation

0.17×100= 17
So it's 17 meters.
Hope this helps! :)
\(^ ◇^)/
The price of 1 hat is $ 5 and price of 1 t-shirt is $ 8
<em><u>Solution:</u></em>
Let "s" be the price of 1 shirt
Let "h" be the price of 1 hat
<em><u>Given that Jones buys 7 t-shirts and 6 hats for $86</u></em>
Therefore, we can frame a equation as:
price of 1 shirt x 7 + price of 1 hat x 6 = 86

7s + 6h = 86 ------ eqn 1
<em><u>Also given that The price of each t shirt is $3 more than the price of each hat</u></em>
price of 1 shirt = 3 + price of 1 hat
s = 3 + h -------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
Substitute eqn 2 in eqn 1
7( 3 + h ) + 6h = 86
21 + 7h + 6h = 86
21 + 13h = 86
13h = 86 - 21
13h = 65
<h3>h = 5</h3>
From eqn 2,
s = 3 + h = 3 + 5 = 8
<h3>s = 8</h3>
Thus price of 1 hat is $ 5 and price of 1 t-shirt is $ 8