Answer:x
=
5
toppings
Step-by-step explanation:Total cost of cheese pizza:
$
10.75
Any additional topping adds:
+
$
1.25
So a cheese pizza with
1
additional topping is:
$
10.75
+
$
1.25
=
$
12.00
A cheese pizza with
2
additional toppings is:
$
10.75
+
$
1.25
+
$
1.25
=
$
10.75
+
2
×
$
1.25
=
$
13.25
A cheese pizza with
3
additional toppings is:
$
10.75
+
$
1.25
+
$
1.25
+
$
1.25
$
10.75
+
3
×
$
1.25
=
$
14.50
If you pay attention to the pattern you can see that, for any number of toppings, say
x
toppings, the price is going to be:
$
10.25
+
x
×
$
1.25
We are told the final cost is
$
17.00
. That is
$
10.25
+
x
×
$
1.25
=
$
17.00
Subtract
$
10.25
from both sides
$
10.25
−
$
10.25
+
x
×
$
1.25
=
$
17.00
−
$
10.25
x
×
$
1.25
=
$
6.25
Divide both sides by
$
1.25
x
×
$
1.25
$
1.25
=
$
6.25
$
1.25
x
=
5
