A=-2 Im attaching a picture with the steps
Answer:
The two linear equation
x + y = 19.... Equation 1
0.55x + 0.75y = 12.65... Equation 2
Nedra purchased
9 Apples and 11 Oranges
Step-by-step explanation:
Nedra purchased apples and oranges at the grocery store. which two linear equations can be used to find the number of apples and oranges?
Let the number of apples be represented by x
The number of oranges by represented by y.
Hence,
Apples are $0.55 each and oranges are $0.75 each. If she spent a total of $12.65 for 19 pieces of fruit,
Hence:
x + y = 19..... Equation 1
x = 19 - y
$0.55 × x + $0.75 × y = $12.65
0.55x + 0.75y = 12.65.....Equation 2
Hence: we substitute 19 - y for x in Equation 2
0.55(19 - y) + 0.75y = 12.65
10.45 - 0.55y + 0.75y = 12.65
-0.55y+ 0.75y = 12.65 - 10.45
0.20y = 2.2
y = 2.2/0.20
y = 11 oranges
x = 19 - y
x = 19 - 11
x = 8 Apples
Ok, so the function form is y = a * bx.
Substitute in the values:
750 = a * b5
and
48 = a * b2
Then divide the two equations:
750/ 48 = (a * b5) / (a * b2)
So:
15.625 = b3
Take the cube root of both sides:
2.5 = b
Now, substitue b into one of the equations (the one with 48 has smaller numbers and is easier to work with.)
48 = a * 2.52
Simplify.
48 = a * 6.25
Divide both sides by 6.25
7.68 = a
Now substitute in a and b to write the exponential function:
y = 7.68 * 2.5x
