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5. At Joe's pizzeria a pizza costs Php500 with the first topping, and then an additional Php75 for each additional topping.If x represents the number of toppings on a pizza, what function represents the cost of a pizza with at least one topping?
6. You are buying t-shirts for the math club members. The t-shirt company will charge you according to the function below, where c(x) is the total cost of the shirts and x is the number of t-shirts that you order.
a. how much will the 51 t-shirt cost?
b. You end up with 30 members buying the t-shirt. You want to sell the shirts to make a Php100 profit. How much you should sell each shirt?
Answers
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Answer:
for que-5
Correct answer:
f(x)=0.75(x−1)+5
Explanation:
Notice that the question describes a linear equation because there is a constant rate of change (the cost per topping). This means we can use slope intercept form to describe the scenario.
Recall that slope intercept form is
y=mx+b
The value of b is the y-value when x=0. In this case x=0 means there are zero additional toppings and the question tells us that this pizza costs $5 so:
5=m(0)+b
5=b
m is the slope, or rate of change as x increases. In this case each additional topping costs 75 cents. Notice that the units have shifted from dollars to cents so we must write this as 0.75
m=0.75
Notice that the first topping is included in the $5 cost. The 75 cent charge only applies to additional toppings. So one less than the number of toppings is equivalent to:
x−1
Putting all these steps together we get:
0.75(x−1)+5
for 6 I didn't know
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